No, it's the issuing CLEO (from the 1-month apartment town) who revokes the LTC that he issued, at the request of the original CLEO. He doesn't have to honor the request, of course, but I think we know how that would play out. That assumes you can get it in the first place based on being a renter in town for less than a month, which I think would be unlikely in most towns (the process itself takes a good bit longer than that).
As for the rest, I think the points in your second and fourth bullets have been raised many times with regard to the unequal application of the gun laws in Massachusetts, to no avail thus far. Not sure about Kachalsky v. Cacase.
NRA Benefactor Life Member
Pemigewasset Valley Fish & Game Club