They show 4 80 amp breakers from the alternator to battery charger. Two of them are also in line from the charger to coach.
The AC power to the inverter will come through the shore power plug, through the automatic transfer switch that will be nearby, then to main breaker panel, then through a fuse to inverter/charger. The Triplite is likely a plug in models like other model Roadtreks used, and the plug for it should under the driver seat it appears.
You will probably need to know how to find those parts to check where power is, so need a multimeter and to know how to use it.
I would start with inverter breaker for the AC in main panel and if it is good go to the outlet under the seat and check it for power there. If there is power there, push the reset button(s) on the Tripplite so see if you get indicator lamps on it. If the Tripplite does come on check for about 14v at the 12v output.
If you have under about 9-10v at the Tripplite, it will not start charging. In this case you will either have to hook up a manual, not automatic battery charger to charge the coach batteries, or run the engine to see if that will get 12v to batteries and Tripplite to get it all running again.
You breakers are 10 years old and those small can 80 amp ones fail fairly often. The can be hard to find and may even be under the body.