Sounds like something is oscillating--sure sign of dried up capacitors. Especially if the board has been in storage for a while, it may work OK when first powered up, but then the coupling and power supply caps dry out a little more, values change, and nothing seems to work quite right. Just "shotgun" all the electrolytics and you will solve multiple small problems. You don't need a schematic, though it would be nice, just some pre-planning.
1. Buy a "Sharpie,"--that is, an indelible ink marking pen, and mark the + ends of the capacitors on the circuit boards;
2. If at all possible find some solder wick*(Trade marked name) or similar type de-soldering braid. I like Radio Shack's braid over the real solder wick, but I would imagine that's hard to find near you.
3. Accumulate the capacitors you need. If you can't find the exact value, go up slightly. For example, older equipment often used 200 MFD caps--a hard value to find now, but 220 MFD will work just as well. You can also substitute higher voltage for lower voltage caps--and may have to. Some of those older axial caps were physically much bigger than what you will find from the parts suppliers now.
4. A 25 watt pencil soldering iron should work just fine.
Go slow and have fun.