Plot hole: As the gun-toting Norseman approaches the buildings, Garry smashes the single-pane window with his handgun. It is inconceivable that the glazing in a structure near the South Pole would be single-pane glass, that would provide minimal insulation and which could be broken so easily.
Plot hole: We see Jason get his outfit from Harold's clothes line. Yet in Chris's flashback Jason has these same clothes already on.
Suggested correction: I went and looked at both Chris version of Jason and Jason in the recent Part III. The Part III Jason outfit in Chris version has a lot darker clothes. Same style, just darker. That type of clothing is very similar though.
Plot hole: In what appears to be at least an hour or so after curfew is put in effect, Challis goes to a liquor store. Even if he didn't know about the curfew, why would the liquor store still be open?
Plot hole: We learn in the film that Cat People must kill a human in order to return to their human form. However, after becoming a cat at the swimming pool and terrorising Alice, Irena becomes human again without making a kill (the only other person at the closed pool is alive and well at the end of the scene - we know Alice has not imagined the presence of the cat because of her shredded clothes). (01:31:00)