When Dr. Hendrickson asks Wayne Szalinski what language Adam was speaking he responds Yugoslavian. There is no such language as Yugoslavian. The official languages of Yugoslavia, before it broke up into separate countries, are Serbo-Croation, Slovenian, and Macedonian.
In one scene when Adam is on Fremont St. in downtown Las Vegas the marquee for Circus Circus is behind him. However, all the other signs are for casinos on Fremont St. The Circus Circus sign is not shown again.
The final scene--and the punchline--of the first film features the shrinking machine in reverse, and the family feasts on enlarged food. In fact, reversing the effects of the machine is how the kids went from tiny to normal size. In the second film, Wayne is working for a company that is testing a completely different machine that will enlarge things, and the shrink machine is in storage. It is never explained why simply reversing his shrink machine wasn't the answer.