Other mistake: When the supercooled air is shown coming down, it makes all the windows in the skyscrapers explode. The library room they were in had 2 windows. These also should have exploded and the cold air should have killed them.
Factual error: Football matches shown on TV are never cut well into the 2nd half to be "welcomed back" at 63 mins. And no British commentator would say "Glasgow, Scotland"? In the UK we know Glasgow is in Scotland. He would say the stadium name - Celtic Park.
Other mistake: When his dad arrives at the library, the opening is larger and the raft with the food is gone. Had they gone out to get it after the storm passed, the doors would not have been frozen shut so neatly.
Suggested correction: Jack and Jason entered the library through a broken window in the large room they were initially gathered in shortly after the tidal wave. The raft with the food on it probably froze during the big freeze, so they never left the room after the storm passed.