Honestly, there is almost nothing you can do as a user on the mini. All you can do is validate the gantry can move freely and that's a stretch, left to right is a linear bearing, front to back is molded plastic shoes riding in a specially coated aluminum rail. It's stiff to move front to back because there must be huge spring tension jamming the shoes into the rails to keep the gantry square and that same spring force causes the friction.
The only other known related problem to this is a belt clamp that comes loose from the gantry. MakerBot super glued the belt into the clamp on later models, but there is a slight chance that the clip can break a tab and thus not be well attached to the gantry.
There are no limit switches, homing is detected when the stepper slams the gantry into the mechanical ends of the motion travel. If friction or just a failing or shoddy mainboard cannot properly detect homing, then all coordinates after the fact are off.
This is why they are selling them so cheap, they are more expensive to repair than the machine is worth.
Makerbot is the only source of parts, this is likely a mainboard issue or mechanical issue, but since you cannot buy parts, the only fix is sending to MakerBot at extreme expense.