About that 'flush with the rim' tuning slug. What this tells us is that the internal ceramic capacitor in that coil has gone open circuit. If the schematic reveals an internal capacitor for that coil, this is probably what's going on. When the cap goes open, the only way to get back a resonant peak is to add more inductance. The 'flush with the rim' position is the max-inductance position of the tuning slug. But maxing out the coil's inductance won't allow you to reach resonant frequency, only gets you closer than the slug's original position did. Our quick-and-dirty fix for this is to solder a trimmer capacitor across the two solder pads of the coil's pins where the capacitor is wired inside. Typically the outer two pins on the side with three pins. Typically, but not always.
Here's an example that may or may not apply in any way to your radio.
We have found that exposure to high humidity seems to be unhealthy for the internal capacitors in tuneable IF/RF coils/transformers. I'll skip the theory about why, for now.
If the one coil you observed with the 'flush' slug position is in a transmit circuit, this could reduce transmit power. Likewise if found in a receiver circuit, the radio will lose sensitivity to weak signals.
And if it's in a PLL circuit, might affect both.
The older these radios get the more often we see this. One Galaxy Saturn radio that was kept in a damp basement a little too long ended up with seven trimmer caps on the solder side of the pc board. Once that was done, it tuned up and performed like it should.
YMMV.
73