RE: new gun
I'm no expert but I've been told by many that the longer barrels really benefit waterfowlers because of sight picture on the swing thru. If its just for turkey I don't think it will effect the pattern too much if you try a few loads a find the one that your gun likes.
As for above, a 22 will kill a turkey if shot is placed in a VITAL area, but it may not be too quick and they can run.