Continuity mistake: In the scene where the two friends order at the diner his pancakes have whipped cream on them he puts his arm in the whipped cream yet in the next shot it is undisturbed.
Continuity mistake: After Graeme and Clive leave the diner, Graeme gets in the RV after he said he was putting the alien on board sticker on the back. But after they crash into the pickup truck and drive past the ET highway sign, the sticker can't be seen on the back of the RV. Neither can the black mark that is left behind when Graeme later removes the sticker after they meet Paul.
Continuity mistake: In the scene after Graeme rips the sticker off the RV, Paul is wearing a seat belt, in the next shot he is not.
Continuity mistake: In the scene in the RV where Paul and Ruth are arguing about religion there is a fly swat and a green flowery oven mitt hanging on the hooks on the wall behind Ruth. In the next shot, she has the fly swat in her hand but the green mitt has disappeared, and it isn't she just knocked it down out of shot, because later in the same scene when we see Clive driving and he says "Oh yeah" it can be seen hanging there again.
Other mistake: When Graeme is convincing Ruth to go with them and she says "Where would I sleep?", you can see her left eyeball through the dark lens: it moves as she looks to her right twice and then back. In the next scene, it is shown that she doesn't have a visible eyeball in her left eye.
Continuity mistake: When the special agent gets shot towards the end of the movie, there is a large bullet hole, with visible blood, and a torn jacket where the bullet went in. Later when Paul is getting onto the space craft waving goodbye, the bullet hole, blood, and suit are now all gone and cleaned up. As if it was never there. Taking into effect of what we know, Paul can heal, but I don't think he can mend clothing as well.
Plot hole: The huge explosion that rips through Tara's house isn't very likely. She only left the stove on for a short while, and if there was really a massive concentration of gas as depicted by the explosion, the Agent who fired the shot that triggered it should have collapsed from inhaling so much gas.