2013 Ford F-150 towing capacity?

I would like to get a camper(my fiancé works on the road), but don't want to go over my limit. I know my maximum trailer weight is 7,500 lbs but my GCWR 13,500 lbs and the truck weighs 7,750 lbs. Which means I can't haul anything over 5,950 lbs right? So if I found a camper that s dry weight is 4,956 lbs but it's GVWR is 6,600 lbs I can't tow it right? Or can I since it's dry weight is under 5,950 lbs? I'm obviously new to this and want to make sure I do it right. Thanks in advance. Also, if anyone has any suggestions on a lightweight camper I can actually haul that has an oven, I would appreciate it.

Rear gas tank fuel delivery issue?

1988 Ford F150 XLT Lariat
Long bed - Dual tanks with switch on dash

The front tank works fine but first some reason when I switch to the rear tank it stalls out. If I leave it idling on rear tank it'll sit about 10 minutes give or take before stalling out. If I start driving, it happens within second. Previous owner said he replaced fuel pump in rear tank, not sure if he replaced the pick up strainer or not, I'd assume so. From what I can tell it has a SINGLE in-line fuel filter so I know it's not a clog or it would stall on both tanks. The gas guage for rear tank reads correctly. It's not the switch on dash. When switched to rear tank and key is turned I can hear the rear fuel pump priming for a second as it should.

Any ideas as to why the rear tank doesn't function properly? Possibly faulty wiring? Bad pump even though it's new? Clog in line? Could use another brain on this!

2010 Ford F-150 4.6l slight vibration when parked/idle?

Thank you for reading. Truck has 45k miles, it has a slight vibration I can feel on the brake pedal and door and console when I'm idle and parked. It's a very slight (in and out) shake/vibration.
It is not bad or violent shaking, but just enough for me to notice.
If I keep the door open and I touch the door I can feel it better.
What could it be?

Why did my steering wheel almost feel like it wass locked?

My power steering pump reservoir on my truck (1988 ford F150 xlt lariat, 5.0 with AOD transmission) has always leaked a little bit ever since i got the truck in 2002, had to fill it up about every 2 months because the pump would start whining and after i filled it up it would steer better than the 2005 Toyota Corolla that my mom has, until yesterday that is, i started to back it out of the yard and ithe was so tight, almost like i didn't even have the key turned on, it would turn a little bit to the left but that was it and i let it idle for about 5 minutes and then it freed up some and i managed to get it over in the driveway but it was still really tight, did my power steering pump finally end up going all the way out?

Added (1). just realized that i made some typing mistakes there, hope everybody can make out my gibberish

Added (2). would it free free up after a few minutes if it was completely out?

Added (3). would it free free up after a few minutes if it was completely out?

Would it be smart for me to buy another car?

I drive a fully paid, off nice Ford F-150. I can't decide if I want to down grade and get a smaller car because I don't have enough money to get the same truck I own now. I was thinking about buying a smaller car to save on gas then when I really want too I can drive my f150. I really really love my truck and don't want to let go of it because it is the most comfortable truck I have ever owned, never broken down, and has a ton of miles on it but I never will get back what I payed for it. I'm in a good financial positition to buy another car. I just can't decide if I should down grade to a smaller newer car or what. Just sometimes I really do not want to drive a small car and would love to drive my truck. Anyone think I should make the right choice and have 2 cars?

Why won't my 2004 Ford F150 start?

I have a 2004 F150 that won't start. The battery and starter are no more than a year old. It's usually pretty bad in below freezing temps. I can usually tell it won't start when I put the key in the ignition and almost immediately the dash lights are dim before even cranking. Just now, the headlights starting flickering and now they won't shut off.

Good/Bad buy? 2010 f150 stx (used truck)? 44k mile?

No accidents on car fax, used to be a commercial work truck. Never towed anything. But has had shocks replaced (front) and rotors and brakes replaced(front). Those are not shown on car fax.
Took it for inspection at a pro. They said no structural damage and that the rim may be bent, it appears it ran over a median or something hard. Because of the rim hit. Should I not buy? It rides great, motor and transmission is awsome. Please advise. (they did an alignment but still pulls left) tires are 6 months old

Well it doesn't have a hitch installed and the company that owned it did a little over 6k miles a year in the DC area. So those miles are city, but it has ran over a median and had all those things repaired on it.
A certified tech had an in depth look and said all is good.

But the dealer was a big ford dealer and they said I have a 2k mile warranty bumper to bumper for 60 days (I know that's not much) but they were up front with telling me what happened to it, (as far as running over the median)

Is there anything else I can do or ask to make sure anything and anything?