Are you looking for advice on the telephone cable, or general inverter upgrade?
The phone cable is pretty simple. It'll either work as-is, or you'll need to crimp a new RJ connector on one end to reverse the wires. The inverter manual will tell you how the RJ needs to be wired.
For general inverter upgrade, there are numerous options on how any particular inverter could be installed and configured, so there's not just
one way to replace the inverter.
The good news is that is not terribly complex. Find the installation manual for your old inverter and figure out how it is presently wired. Then compare that to how the new inverter can be wired.
I'm not familiar with your inverter, but it looks like it is a single in/out? (referring to one or two 'legs' of incoming and/or outgoing AC power)
Does this manual cover yours?
https://itacanet.org/eng/elec/solar/ux2.pdf
If it's a single leg in and out, that opens up your selection of inverters greatly. Download an installation manual for whatever inverter before you buy it and plan out how to install and configure it. Think about the overall size of the unit and location of battery terminals. If you can pick a new one that is laid out similarly, it may save you a ton of installation headaches.
It looks like your inverter has the DC connections on one end of the box, and the AC connections on the other end of the box. A lot of inverters have the AC and DC connections on the same side of the box. Rewiring could be pretty easy or it could be real, real hard. So make sure to think through the logistics of installation before making a purchase.
And realize that your existing 12v system (cables and batteries) are probably the limiting factor on output power. In my opinion there's no sense in buying a huge inverter if the coach's electrical system will only support 1500w.
Cheers,
Walter