[morzh]

OK,

First things first.

Bringing this radio up was not the best idea, next time don't.
Before you recap, that is.
If you want to check the transformer, take out all tubes, especially the rectifier tube and measure the outputs at there rectifier socket, between the fat pi s (5V) and thin pins (600 plus volts).
This will tell you if the transformer is good, as if it is not you might re-adjust the strategy.

Now, the radio was repaired, as there are tubular caps placed instead of the backelites; if they were smart they would use the latters as solder posts, if not, then they paralleled them.

The radio seems clean. Even the speaker cord, which in 620 is soldered in, is not cracked.
Desolder it first and label, or it will hinder the chassis being handled.

Resist the urges to straighten and beautify the inside wiring: you will end up with hum you won't know the reason of.
If replacing a wire, make sure you run the new one exactly the same way.

Also, finish restoring before buying all those letters etc. See if you want spending money on this particular radio once it is done.