Geez that's a big unit for your trailer
I have no idea what's in your trailer from the factory...hopefully it's not the same super-cheap Furrion head unit with all the in-wall speakers wired in 2 mono zones that my TT has. If so, you'd probably be best to just ignore them and put in your own system. Something like what cmysstailights is talking about...if you can get wiring poked through your walls. I had no luck trying to do that, as it seems FR glued the insulation in place in my walls.
This is what I wound up doing, which is basically a 2.1 system with a tiny little amp, nothing like what you've bought...and obviously without surround sound.
https://www.forestriverforums.com/fo...od-214172.html
I'd try to do a little research on figuring out how hard it would be to run your surround speakers' wiring through your walls. If your walls are like mine, and presuming you want the surround sound capabilities of your receiver, maybe a wireless speaker system would be best. Unless the current in-wall speakers and wiring are actually *good* and in that case you could just use them.
You might be able to get a wiring diagram from FR. If not, you'd have to use a multimeter to figure out where all the speakers are wired to in the stock gang connector (presuming that the stock head unit uses a gang connector...most do). A multimeter doesn't push much juice, but it's enough to see the speaker cone move a little if you have the grilles off. You're going to have to cut all the wires out of the stock gang connector to hook them up to your Onkyo unit, and that means knowing where each wire pair is for each speaker in the trailer.