Not much. If it just so happens that a certain platform you sent your funds to asks you about where the funds came from, just say you bought it P2P. Though this rarely happens as far as I know. As long as buying P2P is not illegal where you're from.
Right. Whenever someone tells you something about it, you must say that you bought it from p2p. I don't think there should be any problem with you because you have completed the transaction from p2p.If anything, of course p2p can or will carry it.