Regarding tires. Air up to max inflation on sidewall if needed. (Sounds like they’re squishy now?). But know you may not need max pressure if they’re 80 psi rated tires.
Approximate your weight on the rear axle. IE 2500lb truck, 500 hitch n gear, 1500 pin.
Look up a load/ pressure chart for your size tire and it will tell you the right pressure. Then maybe fine tune it to preference. You’ll be surprised how low of pressure may be “acceptable” based on the charts and typically I like aired up a bit from the minimum for greater stability
Congrats on the new rig!
Just to dispel a couple rumors that will likely get brought up.
Yes 1/2 ton truck rims will handle up to 80 psi just fine.
No, you won’t break your axle if your at or a bit over the “rating.”
Yes, you can tow a smallish 5ver just fine with a 1/2 ton. Whether it’s the “best” or “ideal” is subjective, but within reason there is no inherent problem with doing it.
Have fun w the new camper!