Continuity mistake: The kids are in the car with their dad, and despite the best efforts from the youngest, they are reached by his teacher. As the dad starts the "You were killing us" joke, his hand is on/off the steering wheel between shots more than once. (00:07:15)
Other mistake: The weapon which the gunman is holding is a WWII era Nazi MP38/40 submachine gun. The weapon from the magazine housing to the end of the barrel (muzzle) is completely bent down about 25-30°. There's no way the weapon would shoot as straight as it was shooting earlier if at all. I highly doubt the firing pin/bolt can even make contact with the primer of the bullet in the magazine. The weapon looks cartoonish if anything. (00:48:30 - 00:50:00)
Continuity mistake: When Johanna and the Captain are being chased by Mr Almay and his associates, their position in the wagon changes. First Johanna is on the Captain's left. Next shot she is on his right. Next shot she is back on his left. (00:42:14)
Other mistake: Based on where Carol is standing near the top of the stairs of her new apartment, more of the couch behind her should be to the left of the screen (like it is in a later shot). (00:48:10)
Continuity mistake: The amount/shape/size of the blood/cut on the bridge of Joey's nose varies, as does the obvious presence or absence of blood on the right side of his nose. (00:42:32 - 00:43:50)
Other mistake: The scraping sound is not coming from the man "scraping" his windshield. The snow is easily brushed off and there is no icy coating below the "fluffy" snow to realistically produce the sound of scraping ice off a windshield. (00:00:35)