Immediately after the crash, the trunk is closed. After the first cut to Sam's body, the trunk is open. Then the camera angle shifts, showing two people walking by the closed trunk. The camera angle shifts again to show Kyle just getting out of an open trunk. There is no way the trunk could have opened and closed that fast.
When Charlie and Amita meet Larry on a bench, his right arm is on the back of the bench and he puts it down. When the camera switches to their left, his arm is still on the back of the bench. This continues for the first 3 shots from the left.
When Ray Galuski (Chris Bauer) lists off various modern marvels, he includes "nuclear fusion" among them. Controlled nuclear fusion has not yet been achieved; nuclear power plants are powered by nuclear fission, not fusion.