[B_and_D]

Definitely get the brake controller AND new tires. They're too old. You're just asking for a blowout running tires that old. Buy three new ones before you go anywhere else. Read the posts here about the recommended types, sizes, load range, brands, etc. to buy. Having to deal with a blowout when you're out looking to have a fun weekend camping takes a lot of the "fun" out of it.

We have a Chevy 1500 and we do fine without a weight distributing hitch, but I don't know about your TV so I don't feel qualified to give you an opinion about it.