There may be some related Console utility logs from the time of the cursor 'freeze' occurrences.
Not sure if a reset of either SMC - or the NVRAM/PRAM could help the system overcome any
causative issues, however if you have not tried either or both, you could and then say you did.
⢠Resetting the System Management Controller (SMC) on your Mac - Apple Support
⢠How to Reset NVRAM on your Mac - Apple Support
There may be a momentary power-related issue, or perhaps re-occurring, that may require the
Mac Mini to be tested more thoroughly by an AASP or product specialist at independent service
provider; if the USB ports are losing power or are inconsistent.
Do you have several USB items plugged into and sharing the computer's ports? You may check
to see if you do, that your USB hub is actually powered because the hub &/or power adapter may
have failed in one way or another. An overloaded or intermittent USB power situation may not
give you a low-power warning when the ports are underpowered. I seldom plug the mouse into
a port on the computer, but do have a hub and a keyboard plugged into the mac directly.
Assuming you've traded ports with the various items plugged into them, to test if one is more or
less a cause of the symptom. Sometimes a cable will fail, and the mouse(s) may go on strike.
While I have spares of most items, some have their own quirks; so I check them often to be sure
they aren't actually defective. About firmware update, I've not researched the reversion possibility.
The EFI Firmware Update does not appear to have affected my Late 2012 Mac Mini i7 2.3GHz quad
though it still is running 10.9(.5) and I've held off on upgrade. Bought this new in late December '14.
Does anything change in relationship to the sporadic mouse issues, when you are in Safe mode?
Hopefully you can find stable resolution to this problem; you may need to consider all avenues to
test & check the computer, the system software, any third-party software & add-ons, and hardware.
Do you have a complete system clone of an earlier OS X system, such as Mavericks or Mt Lion?
Good luck & happy computing! đ