@dnelsonfl:
From the limited detail in the pictures, the damage doesn't look too bad. Or you've made a really good job of cleaning it :-)
The address latch, U177, is often the cause of the system failing to see the RTC. There are also tracks and vias under U177 which can get corroded open circuit.
I've written a full fault finding and repair guide here:
http://amiga.serveftp.net/hardware_repair.htmlAll you really need is someone who can carry out some SMD soldering for you. The continuity measurements you can probably make yourself. I get the impression you're a little more electronically skilled than the average joe :-P
@orange:
As mentioned already, the trimmer capacitor is used to fine tune the 32.768kHz crystal oscillator in the Commodore factory as the crystals used aren't overly accurite. I think they're 20ppm or less stability, from memory.
The frequency also drifts as the crystal ages.
The best way to adjust the oscillator is by using a frequency counter or decent oscilloscope. It only takes a few seconds to do with the correct equipment.