sounds to me like something is mounted wrong here
if I was you, I would take gun to a decent gun shop that has a smith on hand and look things over for you, shouldn;t cost much if anything and solve your issue's for you
that you you got a really BAD scope
that isn;t the highest quality of optic there so??
just saying!
but if your laser bore sight is showing your 20+ ft off, that is seriously OFF, no scope is going to have that much adjustment in it!!
you can also try getting a MUCH larger target say a 4ft x 4ft cardboard one and just see if things are grouping or not too
but I say you have something mounted wrong here!