From what I understand, given IANAL and don’t own one:
Background checks: Yes
Waiting period: no
Crimes: any felony, or domestic violence charges
Gun shows: AFAIK that’s never actually been true
Other: Probably 16 or 18+ but I don’t think there is anything federal
Explosives: lots of paper, similar to an automatic firearm
Looked into the ones you mentioned, both require non-printed parts.
Those are better than what I had seen, but aren’t even on the same scale as what someone can make with a mil or a lathe casually in a couple days