Plot hole: When the flying saucer first appears, it is supposed to be 4 AM. But the grave diggers are still there from the burial of Bela Lugosi's wife.
Plot hole: Eros makes it very clear that his race does not 'cling to life.' If this is the case, then why is he so determined to save everybody?
Suggested correction: What he's saying is that they don't cling to their individual lives, placing them second to the fate of their planet. Note that from Eros' point of view, the survival of the whole universe is at stake.
Plot hole: The aliens' plan ("plan 9") is deeply flawed. The aliens resurrect the dead to make earth people accept the aliens' existence. However when Eros reports to his leader, he says that "none of the risen have been seen." What's the point of raising the dead if they aren't seen anyway? And while later, yes, the old man enters a dwelling and is by everybody, anything before that was just a huge waste of time on the aliens' part, making the first phase of the plan completely senseless.