Whilst entertaining the Japanese businessmen, Beltz mentions that Nick Adams was in Rodan. This is untrue. Although the US version of Rodan was dubbed and featured some World War II stock footage at the beginning, there we no new scenes shot using American actors as with Godzilla, and certainly nothing involving Nick Adams.
When Charlie accidentally fires Ramsey's phaser gun, he looks through the hole in the wall and the neighbor's red funny car is shown engulfed in flames. But the next day when he comes home from work, the guys are working on it in their driveway as if nothing happened to it, and the car appears to be unharmed.
The Ford logo on the red festiva front grille comes and goes throughout the movie. Example: When they go to stop the robbers with the ice gun the logo is on the car, but prior to Hulk picking up the drag car it is not.
Shep was somehow able to locate the apartment for rent by a single poster several blocks away, with the vaguest directions possible. It simply says, "Apartment for rent." Accompanied by an arrow pointing in the general direction.