Morning everyone.!
@Mr_AvocadoMan If you can accept it, are within the demographic, and you don't see any reason why you couldn't do it, you can, regardless of similarity of name, requester, or pay. This is true for effectively all HITs. In this case, you wouldn't be doing it "again" because they have different id's. They are entirely different HITs.
These are just user tests for different app/sites. Each id refers to a different site. But, in general, if you can answer yes to the first 3 questions(accept, demographic, no other reason 'not to') then you can do it. I did just wake up so, I may be forgetting some other reason why you wouldn't be "allowed" to do a HIT that you can accept. But, I don't think so. I really think those are the only questions that we'd have to answer, to answer your original question.