Just an update.
Today I found the courage to try to repair the UT61E...
After a long and nerve wracking soldering session, I've removed the main IC and replaced it with a new one.
The UT-61E came back from the dead and works perfectly fine!
I used one full Rossmann unit of flux for soldering.. and while it was soldered fine, its a PITA to clean
the flux afterwards from that type of package. An ultrasonic cleaner will be the next purchase I think.
It was indeed the main IC that got zapped. No clamping diodes, no other component, just the IC.
Its FC lines have no protection whatsoever from electrostatic discharges and I think that this was
what killed it. I will order a 4 channel ESD diode IC to clamp all the FC lines.
I've also replaced the voltage calibration pot with a 2K Bourns. A 1K would have been a better choice
since only two legs are connected and the resistance when calibrated is around 565Ω.
I've also cleaned and greased the rotary switch contacts and its back in service as new!
I know, its a cheap meter but I am sure that everybody knows the feeling when you bring back
from the dead a piece of electronics equipment, especially if you have been using it a lot and also
made a lot of mods. Cheap stuff and things that do not work optimally is the best way to learn!
Thanks for the help.