Character mistake: When Mick arrives at walkabout hotel, Nugget introduces himself to Mick as if they have never met before. Yet in the first movie, Nugget is asking how Mick is getting on in New York. It may be just a case of over familiarity by Nugget but it doesn't make a lot of sense.
Suggested correction: It's quite possible that they haven't met, but Nugget's heard about Mick, e.g. from the people in the bar, stories, etc. Having no doubt heard so much about Mick, Nugget probably feels like he knows him, at least enough to ask how he's getting on.
Continuity mistake: When the first two baddies are captured they are tied up back to back in the cave. Next time they are seen, they are side by side.
Suggested correction: Too much time has passed in the film for this to be a mistake. They are first shown tied up back to back in the afternoon when Sue watches them alone. When Mick returns, he invites Sue along for his "phone call." The next two scenes, which are at night time, are of Sue collecting berries and of the bats attacking the bad guys camp. Following this, Mick and Sue are shown around a camp fire and the two are tied up side to side.
Continuity mistake: In the cave, Sue tells Mick that the rifle has no more ammo, but when she goes to help Mick, she shoots the bad guy with the very same rifle.
Suggested correction: They are two different rifles, but of the same family. Per IMFDB, Mick uses a customized Enfield .303 Sporter. The rifle Sue uses later belongs to Jose (Luis Guzman) and is a Pattern M1914 Enfield. It is distinct because it is scoped whereas Mick's rifle earlier was not.
Continuity mistake: After rescuing Walter in the water, they both get out and they're soaked. When Walter enters the camp, his clothes and his hat are 100% completely dry. There is no way he could've been dried off completely that fast.
Suggested correction: Since we don't know how long Walter was wandering before he found the camp, he could easily have been wandering long enough in the hot Australian sun to dry his clothes completely.