Which model
Trillium? Water tank in a 4500 is totally different than a 1300.
I’d replace every single piece of plumbing assuming it’s over 40 years old. I’m a big fan of PEX on supply lines. It’s on my project list for later. Meanwhile I don’t use the water supply.
I’d sanitize and clean the tank like on any RV. Bet there are some great YouTube videos on it. Pump will either work or not. Be careful with
leaks. The plywood in the floor is exposed inside the cabinets so a leak around the sink could do a lot of damage. The drain line off my sink was also brittle. Plastic does not age well.