Plot hole: So when he travels through time whatever he has on him or with him or whatever he's holding goes back in time with him just like his dog or the wood. Now he's sitting on the rock drinking a beer and his friend is talking to him and all that's heard and seen is his beer bottle breaking on the rock when he disappears through time. Makes no sense for it to fall from his hand and break if he's in possession of it. The beer should've gone with him. (01:26:30 - 01:27:30)
Continuity mistake: Packets of Synchronic were placed on top of the garbage already in the can and were inconsistent from one shot to another. Also, the amount of crumbled papers under the Synchronic decreased. (It is also interesting that no new garbage was placed in the can on top of the Synchronic packets even though over one day had passed).
Revealing mistake: The fire Steve made when he "traveled in time" back to the Ice Age was obviously fake (computer-generated). The logs were arranged like a teepee and the "fire" was contained to the inner sides - flames did not spread toward the outer edges. Moreover, the fire was built on top of snow/ice but there was no melting under or around the fire.