I dont think so, really only thing i play is QP and i see legitimate 1st timers not knowing where basic camera is spotting them from or pros who headshot you in a second.

Is it only Unranked and ranked having mmr?

If i go into Unranked will it somehow affect my relaxed matchmaking in QP?

Maybe its because i never touched ranked nor unranked yet at all since i got my account for 150hours.