Continuity mistake: When Dr. Wimmer and his men are approaching Rowan, we see Dr. Wimmer lift his head looking up at her. When it cuts he lifts his head, looking up at her again. (00:04:40)
Plot hole: When the film opens, Jason is bound and restrained in an empty room. After killing the six security guards and appearing in the hallway, he chases after Rowan with a machete. Where'd he get this? All the guards had guns, and the rest of the room was completely barren. [Apparently, there was a cut scene (unfortunately deleted scenes weren't included on the DVD) showing Rowan with a box of Crystal Lake newspaper clippings and other Jason material/evidence, and his machete was one of the items in the box. Still a mistake due to the empty room (ropey editing), but that's the reason.] (00:06:00)
Continuity mistake: When Jason rams his machete through the cry-stasis chamber and stabs Rowan, the amount of blood on the machete differs from shot to shot. (00:08:25)
Continuity mistake: When Azreal picks up the frozen coffee cup, it gets stuck to his hand. When he first picks it up, it is attached to his hand straight up and down, but in the next few shots, it is crooked. (00:12:00)
Factual error: Rowan has been frozen since at least 2010 because that's when the Cryo machine was made. The android says she has been out for 4.55 centuries. With it being 2455 it would be 4.45 centuries. Pretty simple mathematical mistake for a robot. (00:16:20)
Revealing mistake: When all of Rowan's clothes are removed from her frozen body, the outline of a strapless bra can be seen under the metal blanket. It is also seen later when she sits up and the metal blanket slips a little bit. (00:21:15)
Continuity mistake: After removing Jason's mask, Adrienne puts the scalpel down on the metal table. In the next shot it is in a different position. (00:25:25)
Continuity mistake: When Adrienne removes Jason's mask she pulls the mask and its straps away. When it cuts the mask is suddenly right above Jason's face and the straps are hanging over his face. (00:25:35)
Continuity mistake: In one shot we see the thick green blood dripping off of the autopsy table which Jason is on, and there is plenty of blood running down the side. In later shots when Adrienne turns around and looks at the table, the amount of blood dripping down the side of the table has decreased, and the amount changes in following shots as well. (00:26:30 - 00:28:35)
Continuity mistake: When Lowe sits down by Rowan on the couch, Rowan is holding her hair back with her hand. When it cuts to him saying "You wanna tell me what happened" her hair is hanging down. (00:30:30)
Continuity mistake: When Dallas and Azrael come out of the VR game, the wide shot shows that they are holding the VR controls in their hands. When it cuts to a close-up of Azrael, the control is suddenly on the ground. (00:36:35)
Continuity mistake: When Jason slams Dallas's head against the wall, he slams him nose first, but when it goes to the side shot Dallas's cheek is against the wall. (00:37:10)
Continuity mistake: When Jason is sneaking up behind Crutch, the position of his headphones changes between shots. (00:40:00)
Revealing mistake: When Sgt. Brodski gets a spear through him, Jason pushes it through the wall and passes into Brodski's stomach. You see him lift himself up off of the wall and the spear in his stomach lifts up as well. (00:47:40)
Continuity mistake: When they crash the ship into the Solaris you see the back part of the ship slide over the Solaris' glass sphere. When it cuts half the ship is sliding over the sphere. (00:50:10)
Continuity mistake: When the android steps up to fight Jason the first time, he throws his machete at her and hits her square in the chest. For the rest of the movie there is no hole in her jumpsuit. (01:03:00)
Continuity mistake: When Jason throws the machete through Kay-Em, the machete's angle changes position between the shots. (01:03:00)
Continuity mistake: When Kay-Em jumps on the platform while attacking Jason, she is shown crouched down and says "Hey." and she is missing her black latex gloves, but in the next shot the gloves are back on. (01:03:30)
Revealing mistake: When Kay-Em kicks Jason in the face during the fight sequence, you can see Kane Hodder's goatee. (01:03:40)
Continuity mistake: After Jason throws his machete through Kay-Em, you can see behind Jason there is a tunnel, which they are both outside of. When Kay-Em starts kicking him they are both halfway through the tunnel. (01:03:40)
Chosen answer: There is a certain difference between filling out paperwork and preparing a chamber for cryogenic freeze. Rowan may have reserved the cryo chamber for Jason, filled out the forms and put his tag on it, but she had yet to prep it properly (check that every detail was in working order, maybe run a test, re-check, etc). So there may have been a tag on the chamber with the name "Vorhees" on it, Rowan just did not think of this as "prepping".
Twotall