Hello electron wizards!
Wanted to reach out because I'm having a couple curiosities with a Fender Twin Reverb Ultralinear 135w amp I am working on.
Here is the schematic I am working from:

Amp gut shot:

Curiosity #1:
The amp just doesn't want to fire up on the variac. I have tried multiple times to bring this amp up carefully and
the pilot lamp refuses to show signs of life when stepping up through the variac. The amp works fine when switching straight on, but I did notice that the on/off switch requires some wiggling to fully engage when it first fires up. The amp also tends to have some trouble coming out of standby as the pilot lamp will dim and sometimes the amp will lose power, but I believe this is a result of the on/off switch needing to be replaced.
Edit: While writing this post I was finally able to get the amp to step up on the variac. Which leads me to believe the on/off switch is in need of replacement. Curiosity #2: There is 0.097v AC going to one side of the heaters. One side tests fine with 6.3, but the other side tests 0.096v at the pilot lamp.
Curiosity #3: V5 (Tremolo Depth) Tube pulls in 400v at pin 1 when tremolo is off. When the tremolo is engaged pin 1 sees variations in voltage from 150v to 300v. I have checked the tube and it tests as good. I have also tried another tube and have the same result.
The amp works, passes signal, and for the most part sounds fine except for a pronounced 60 Hz hum.
So these are my questions:
1) Is there any reason other than the on/off toggle switch that the amp would not be able to be run off of the variac?
2) Any insight into troubleshooting the 0.097 AC at the filaments?
3) Is V5 voltage variance normal and/or is the 400v too high?
Any help, suggestions are welcome. Thanks!