What is the purpose of those resistors parallel with rectifier diodes?
Blind copying.
If you notice from Merlin's page, it is more common to see smallish caps spanning the rectifiers.
IF you have to use multiple diodes in series, the caps will force voltage-sharing among each of the diodes, in the same manner that bleeder resistors can force voltage-sharing between series caps. Often, you might see series caps used as a voltage divider when resistors don't make sense to use. Opposite what you might think (unless you check the formula for capacitive reactance), if 2 different-valued caps are in series, the smaller cap has a larger voltage across it than the larger cap.
Anyway, it's all moot. Vintage Twin Reverbs used six diodes because the individual diodes did not have the Peak Inverse Voltage rating of modern 1N4007's. These days, you don't need 3 diodes in each leg; if the peak of the recitifed incoming a.c. does not exceed 500v, a single 1N4007 will suffice. People often use the 1N5408 for some psychological comfort, because it is physically bigger. In reality, it carries the same 1000v PIV rating the 1N4007 does, but can pass 3x the current.
The bias board pic looks like there might be a lot of solder/rosin splatter on the board itself, and the lug holding the bias tap wire looks like solder could be missing or have flowed down the lug and out the bottom. And is that some kind of zener diode in series with the center-tap? All-in-all, I'd suspect everything, and undo some of the "improvements."
If you think the improvements might help, leave extra space to reinstall them, but remove them and get the thing running stock first. Afterwards, you can add back those upgrades you think will yeild some benefit (and actually be able to compare them to the stock performance).