I assume the main purpose of R-35 is some sort of decoupling/suppression resistor. No comparable unit was used in the original Viking 1 (4D32 final).
That's exactly what it's for. It's to suppress hypersonic oscillation in the screen circuit. The screen dropping resistor (20K) places a modulated voltage on the screen necessary for 100% modulation of the 6146s.
C45/R35/C28 form an RC pi filter.
There's little doubt an oscillation of some kind (most likely ultrasonic) caused the failures. This is confirmed with the burnt resistors in the plate parasitic suppressors L11 and L12. Once the screen starts oscillating all hell breaks loose with VHF parasitics in the plate circuit.
Check for any mods done to the modulator section and check the mod transformer for opens/shorts!
If the plate caps on the 807s were reversed for any length of time by the previous operator/owner this could explain eveything.
From the manual:
Pg13 - e. Turn "plate" on.
If squeal is heard, turn plate off immediately and reverse 807 plate caps.