Check ohms pins 2 <> 8 for the filament. Probably a 5U4GB though I have never seen one with that skinny envelope...the straight-sided ones have been fatter. That dirty = prob from the inside of a TV set.
Google images shows "sylvania 5u4gb" the Sylvania brand in particular appearing to be in that slightly narrower (than RCA or GE) envelope. There are also some "group" pix with a mix of brands and the Syls appear skinnier. That's my vote.
As to your other question, I would prefer not to use the unused rectifier pins for that, for exactly the reason you're concerned about. Perhaps Merlin has a more positive assessment of using the unused tube pins. I would prefer either a small terminal strip or enclosing the series diodes in pieces of good heavy tubing. Not just heat shrink, something more abrasion resistant, would prefer heat shrink around an internal tube maybe made from the jacket of some stripped coax cable.
There is a preferred orientation is you are mounting the tube horizontally, it's in the tube manual. I've never heard of it being a big deal unless you are really thrashing the amp around. I would not do that at all with an indirect rectifier with cathode-around-filament like GZ34 or 5V4.