I would agree that it's either different backing on the pads causing a weird bind/clamping angle. Pads can be designated inner/outer like I've said and
@Monk said(I've been bit in the *** by this before on a car). I assume you'd know if your forced the caliper over the pads to cause a bind(done this also being in a rush). Unless your rotor is a trapezoid of some kind from factory I'm leaning towards improper install of some kind on the pads.
Wait...did you line the bump on the back of the rear "inside" up with the grove(s) in the piston? I BET that's your issue, that bump not being in the grove of the rear piston wont allow and even clamping force (I've done this too in a rush). You need the special rear brake service tool to line up the piston.