I bought a Squier Vintage modified series Telecaster from a friend a while ago and don't understand how the volume and tone knobs. I noticed, when I was using the single coil pickup that the one of the two tone knobs controlled the volume and didn't seem to do anything with the humbucker pickup. Also one of the volume knobs controls volume with the humbucker pickup and does nothing with the single coil pickup. Is this normal, or is something messed up with the wiring?
Assuming it's the Tele custom model with 2 volumes and 2 tones, yes, that's normal. one set of vol/tone knobs is for the bridge pickup and the other is for the neck pickup. That's why there's 2 of them
I like analogue Solid State amps that make no effort to be "tube-like", and I'm proud of it...

...A little too proud, to be honest.