OK...Sorry, I haven't been around much lately, since moving back to Texas I have to drive 20 miles to town to get online. That happens once a week at best...
Amp...sounds like either a bad solder joint somewhere or possibly a bad resistor or capacitor. Not hard to check if you know how to be careful. The filter capacitors (the biggest ones) do hold a high voltage charge for several months after being shut down, and it is definitely deadly.
But...the "chopstick test" is not difficult, and not too dangerous. Pull out the chassis, connect the speaker. (NEVER turn on a tube amp without a speaker connected) Use a chopstick, pencil or wooden dowel at least a foot long to poke around inside the amp, turned on and volume fairly low. BE VERY CAREFUL. Keep your other hand in your back pocket. Anything that's loose will crackle when you push on it. That's how I found out I had a broken contact on a capacitor in my Fender Champ.
There is a reason for keeping your hand in your back pocket. That way it can't touch the chassis and cause any accidental shock. Anything that makes noise, check it out carefully.
This will usually locate any loose connections or bad solder joints. Anything loose will move and will make noise. I use a wooden dowel or a plastic screwdriver designed for TV adjustments. As long as it's at least a foot long and non conductive you should be OK. Do not touch the chassis or any metal parts while doing this. I've located several loose connections this way. I do a professional soldering job and I know how to drain the caps, (my super reverb actually does it automatically when I shut it down, I have to drain the Champ.) You can unplug the amp while still playing the guitar, and it will keep making a sound until the caps are drained. Not the best way, but it works. Unplug it, don't turn it off.
Guitar...Sounds odd, check for bad connections, still might have a dirty switch or pot, pickup switch could be going bad, or if you're really having a bad week it could be a bad pickup. Bad connections are more difficult to trace, but if you pull the back cover of the electronics and plug into an amp you should be able to wiggle the various wires and knobs and hear noises if anything is loose. This is safe, any voltage is very low and not hazardous.
There should also be a capacitor connected to the tone pot. This filters treble, it's usually the correct one but it can also be changed for a different value to get more or less treble. If it's going bad it could easily cause variances in volume. The only way I know of to effectively test it is to replace it with another of the same type and value. Capacitance must be the same, voltage can be higher but not lower. With a LP it should be a small green ceramic capacitor, probably in the 250-470 pF range. Voltage is far from critical, these can usually handle at least 450V, the guitar produces less than one volt. I don't remember, but I think it's in the millivolt range...(it's been 30 years since I put a meter on a guitar...) Any cap can handle it, make sure the capacitance is the same. Just get one with the same number printed on it. It's usually a little rectangular green job that looks like a pillow.
I just swapped out the one in my Harmony guitar, I've been meaning to for ages to give it more treble, it took a 333. the one i n it was marked 473. I can't remember the numbering scheme, I think that means 47 and 3 decimal places. So .047pF (pico Farads) The .033 filters out less treble, now it sounds a lot better. Easy to do, if you know how to solder.
Anyway you shouldn't need to change values, just a direct replacement, if the cap is bad, it can definitely cause volume changes. That was the main problem when I got my Super Reverb, bad cap caused the volume to drop about half after 15 minutes or so. It had other minor issues, but that was the biggie. When I replaced the last couple of caps, it started working right.
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