He wanted a reg system. the volume I suggested, but yesterday I looked for a moment in the evening and wrote back only on it. And today is the new

day.
1. Will the placement of transformers in metal cans offset their work and affect the entire system.
Probably yes, only: there are 2 types of interference from the transformers. Magnetic and electric fields. The electric field can be easily shielded with a piece of grounded conductor - typical ubiquitous "screens". The magnetic field is more difficult - you need a screen of soft magnetic material - the field wipes energy on the flow of eddy currents. This is more difficult to shield, therefore transformers are properly set - middle columns at an angle of 90 degrees, especially when the transformers are close to each other.
This type of impact decreases with the square of distance - that is why "the farther the better".
2. Should shielded transformers be connected to a common point of mass.
Both the core and the screen - to ground, can be at the chassis at the fixing point, are not sensitive zones and there is nothing to combine.
3. When I have it all connected, do I still have to make the filter on the anode power supply and lamp glow as shown in the picture
Anodic - do you associate the concept of the ripple factor? If you go down to 0.05% for the final pentode and 0.02% for the triode, it will be great. If you feel like it, anode triodes can even be stabilized.
As for the glow - the minimum is the symmetrization of the resistors to ground (R23, R24). DC can be fun - only the rectifier must be solid, diodes blocked with capacitors, etc. Badly made solid can give worse interference than variable - you get rid of "brumu" and you get "ticking".