This manual may be helpful. It has troubleshooting tips and a very good explanation of how the absorption cycle works.
This part supplier also has a good list of parts, might shed some light.
My original manual shows parts for the RM 2800 on pages H-68 through H-72. It doesn't show a fuse; just a switch and thermostat. Per the drawing if the T-stat was bad it wouldn't work when you directly put 120 VAC to it, so I'm thinking it's the switch, meaning the selector 3 position switch (GAS-OFF-ELEC). Not making a good connection in ELEC.
You said you had 120 at the outlet? Have you checked for continuity in the power cord?