AJ vs SET

Just started playing at this table. Unknown player. Before the flop, opponent called my raise, and I assumed he has 22-TT, AT+, since it is usual calling range at this limit.
After the flop opponent raised my c-bet, so I put him on AJ+, A7, A5, 55, 77 range.
On the turn I made my two pair, and called all-in.

Should I have folded on the flop?

Preflop looks fine

Postflop, when he check\raises you on the flop and specially him being an unknown opponent, I would fold here! He seems to be more of the calling station type than a maniac (because of the open limp).
Yes he could overplay {Ax} hands but so be it, look for a better spot with no information on your opponent. Too often this is the nuts.
Also if you put him on {55, 77, A7, A5, AJ+}
You should definitely fold.

Well after you do call flop, once you hit the J on the turn it's an easy call. Cause now you beat all of his two pair combos. And you're only behind vs a set. So it's a call on the turn imo.

How often do players at these stakes raise with weak aces or draws without an ace? Probably not often enough to justify the flop call w/o a better read. Obviously once you call and hit your second pair it's all going in.