To close the case, here is an update.
It was a faulty AF motor. I used instructions from ipernity:
ipernity: Pentax zx/mz mirror motor repair by 5cent to disassemble MZ-5. To access two screws holding AF block (both on a bottom side of a mirror box) it is better to unsolder a ribbon cable going all the way from the shutter and located in front of a prism. The mirror box then clears higher from a body. Examined extracted AF motor block by connecting it to 1.5V AAA battery. Sometimes it spinned, other times - no reaction. Turned a toothwheel on a block - spins again, then again not. The behavior exactly the same as when driven by a camera when attempting to focus. My guess - three coils inside, one is smoked or disconnected, no start torque at certain position of a rotor, but I may be wrong. Anyway, seems like a problem found.
Then disassembled donor MZ-7 and extracted the AF block taking care to unsolder a ribbon connection cable (seems like an opto-coupler, presumably to report impulses upon motor rotation to the processor) on the other side, where it is soldered to a main board. Checked with AAA battery - works perfectly. Replaced AF motor with some equilibristic required to hold the mirror box up hanging on ribbon cables... Resolder, resolder, resolder... Getting color cables out of the way here and there. Checked camera functions - AF and the rest works.
Now, quoting Eric:
"Might as well do the mirror gear while you're in there...
Unless it's been done already...
-Eric"
Good idea. But, having another, MZ-5N camera laying around with mirror up... An in the fixed MZ-5 the mirror still works. Decisions, decisions...
Decided to fix that another MX-5N still. Took that donor MZ-7 again and extracted mirror motor from it and, a strike of luck: the bronze toothwheel. Perhaps, previous owner did the replacement? And, unlucky him - then smoked the camera... That motor assembly saved the MZ-5N and now two cameras seem to work. So far...
Now, the question. Wanted to order a few bronze toothwheels from Mikro Antriebe just in case. But before ordering contacted them to check whether or not they operate, but still no answer yet.
Have anybody ordered from Mikro Antriebe recently? The webpage works. But after I filled the delivery address including destination country and selected PayPal, its bill contained a string "false" instead of a country. A bit weird, not sure whether the toothwheels will reach me then.
Thanks for reading.