Here is a sample of what I can do with paint.
I used to own an online store that sold detailing products (until 3M tried to sue me... long story).
http://www.meguiarsonline.com/forums/showthread.php?44569-Black-F150#O26fBRb1LWiMxXHQ.97
Likely, your camper looking old due to oxidation and above surface contaminants. Making it look new again, would be no different than restoring the paint on a vehicle.
First I would wash the camper as best possible. Use Sunlight soap, or use engine degreaser if you want to save some labor.
I would then use detail clay to remove above surface bonded contaminates like sap, road tar etc. Your paint will fill smooth like a babies bottom/glass if the surface is truly clean. Do the smooth surfaces like the roof first to get an idea about how much work is involved. It's not that bad, kind of like waxing a vehicle.
I would then suggest Meguiars Ultimate Compound. Essentially you are removing a miniscual amount of paint with this process. Don't worry, you could do this a million times if working by hand and never remove the paint totally.
http://www.meguiars.com/en/automotive/products/g17216-ultimate-compound/#DDiP1TTPdvlFMq4X.97
It a very easy product to work by hand or with a power polisher.
I've tried lots of products and Ultimate Compound is by far my favourite for many reasons, especially if working by hand. All you need is a small sponge like the ones that come with a can of wax.
After polishing, wash the camper again and then wax it.
Basically plan on spending an entire day working hard. Your cost will be no more than $50 total.
$20 Meguiars Ultimate Compound
$5 sponge
$15 Degreaser
$10 wax
Best of luck. Don't feel overwhelmed it is a very simple process and you can't hurt anything.