Continuity mistake: When running from the volcano after escaping the Baryonyx, we see the group level with a group of trees. Camera changes to a front view and the trees have gone. (00:40:40)
Continuity mistake: When we first see the sphere the door is on the top. Camera changes and now the door is instantly on the side and the sphere is the right way up. This has nothing to do with the dinosaurs that are passing by knocking it. (00:41:20)
Continuity mistake: When Claire and Franklin are in the rolling sphere, the door closes and locks. In the next shot, it closes and locks again. (00:43:10)
Suggested correction: This is incorrect. It shows the door closing twice because it is showing both the third person (camera behind Owen) and the first person (Claire's POV) of the door closing. It was deliberately showing what was happening from different perspectives.
This correction is wrong because it doesn't show different perspectives (which films do at times). In the first shot, the door fully closes before Owen gets to the sphere and before he raises his arms. In the next shot, Owen raises his hands before the door closes and is touching the sphere right as the door closes.
Perhaps your version was out of sync when you watched it. It was definitely just two shots from different angles, if you're watching in UHD on a big enough screen you can even see the camera that catches Owen's reaction.
Factual error: Owen should be killed instantly by the volcanic ash at the island and he could not run fast enough in order to avoid it. (00:44:15)
Suggested correction: Volcanic ash is is not deadly to the touch and is not high in temperature. At worst it can be toxic if inhaled for long periods of time. There have been plenty of instances where entire towns were engulfed in ash and the residents were fine. What I think this mistake is referring to is something called Pyroclastic flow which is very deadly at 450°C and can travel 80 km an hour. Volcanic ash can sometimes be residue from pyroclastic flow but doesn't have to be precursors or remnants to it. The film never states whether it's volcanic ash or pyroclastic flow but since Owen as well as the dinosaurs inside survive it can easily be inferred to be volcanic ash.
Continuity mistake: When the group is escaping from the volcano, the whole sequence when they are trying to reach the boat shows different times of the day. At one point they are standing on the rocks watching men loading the dinosaurs into the boat with the sun directly behind them and behind the volcano, then as they are running to get in the truck, the sun is right above them. Once aboard the boat the sun appears to be again behind the island and the volcano. (00:47:10)
Continuity mistake: On the beach after escaping the gyro-sphere, Claire's shirt keep changing position. Note the rip on the back. (00:47:30)
Continuity mistake: When Wheatley grabs the Stegosaurus tooth, his shirt pocket top goes from tucked into his pocket to untucked. (00:49:10)
Revealing mistake: When Claire drives the truck and gets it to jump to the boat, the front of it ramps up as it reaches the end of the dock. There was nothing there that could have caused the vehicle to ramp up like that. (00:50:05)
Continuity mistake: When Owen and Franklin are climbing in the truck, from the reverse angle Franklin is next to Owen, but from the front angle he's not. (00:51:00)
Continuity mistake: The driving the truck onto the boat scene doesn't make sense. The truck is seen from various angles and in each angle the truck is a different distance from the boat. Some shots it's about 20m max, others it's back to around 100-150m from the boat. (00:51:05)
Continuity mistake: When Franklin gets the blood from Blue on his mouth, one second it's fresh, the next it's dry. (00:57:15)
Continuity mistake: When escaping the lorry with Blue in it, there is an aerial shot where a guard walks past the cab towards the back. Camera swaps to a ground level shot and he is back at the front of the lorry. (01:06:50)
Continuity mistake: When they break out the cell, the door is knocked open. Camera changes and the gate is closed with the padlock still attached. (01:18:00)
Revealing mistake: When Owen is trying to use the Stygimoloch to break out from the cell, when the Stygimoloch rams the door it opens before the Stygimoloch reaches it. (01:21:15)
Continuity mistake: In the fossil room, Owen, Claire and Maisie turn round a corner when hiding from the indoraptor. Camera changes and Maisie is back turning the corner again. (01:35:00)
Continuity mistake: In the fossil room, Owen, Claire and Maisie take off running from the Indoraptor and it leaps off some bones after them. It lands only about a couple feet away from Owen and starts to slide, but in the next shot when it cuts to a different angle, suddenly Owen and the others are several yards away from it at the stairs already. (01:38:15)
Continuity mistake: When Mills is trying to load the Indominus Rex tooth into his SUV, the sliding side door is open. These doors operate on a catch and lock in place when open or shut until the handle is pulled or the button inside is pressed to automatically close it. As the dinosaurs are escaping, a pterodactyl picks up a soldier and drops it on the vehicle, then in the next shot Mills is panicking and starting to climb under the SUV. In this shot the door is closed. And the soldier being dropped on the hood of the car would not have caused it to close. (01:53:05)
Plot hole: Being transported from the west of Costa Rica all the way to Northern California by ship would take about a week. Are we to assume that Owen, Claire and Franklin were staying put in the back of the truck the whole time undetected? They would have to eat and use the restroom, at least.
Suggested correction: Maybe they did have to sneak around but the director thought making us watch Owen sneaking away at night to take a whiz wasn't really important to the plot.
It was established in the plot's timeline that the ship travelled overnight. A ship like this travels at about 12 knots and would take for them about 9 days to complete that voyage.
Plot hole: There was only one T-Rex on the island. When Owen and the others are running down the side of the island escaping the volcanic ash, another dino tries to eat them but then the T-Rex shows up and kills it. This establishes the T-Rex was there in that spot. Owen and the others then wash up back on shore and find the soldiers loading the dinos on a boat and stow away. Then when Blue is bleeding out they have to get a blood transfusion and the only viable candidate is the T-Rex who is now captured and sedated on the ship. How did the soldiers capture, let alone bring the Rex to the ship from where it was seen by Owen back up over hills and rocky terrain? It would have been an all day process just to haul the T-Rex to the ship. It just magically appears on the ship after they stow away on it and can provide the blood Blue needs.
Suggested correction: There was a shot showing the T-rex being carried to the boat via helicopter during the beach scene before the transfusion occurs.
Other mistake: In Jurassic World, we are told that the Gyrosphere can stop a .50 calibre bullet. When it falls into the sea in this film, Owen shoots some holes in it using a pistol and manages to prise the door off using a small knife.