I'm no tube guru and have many more questions than answers. I think what you are referring to in the metal caps are tube shields. They, IME, are spring loaded and act to reduce microphonics. Beyong that they shield the tube from interference. Leave the tubes on and place your hand over the tubes. They will remain quiet...usually. Take them off and do the same and you will hear noise. If you want to stare at the glow of tubes in the dark then leave them off.
I'm of no help with your output tube question. I'm sure you will find a lot of help here on that subject. It may not have as much impact as changing the input tubes.
I'm of no help with your output tube question. I'm sure you will find a lot of help here on that subject. It may not have as much impact as changing the input tubes.