When making sharp left turns, gasoline smells inside my 89' FJ-62

Does it only do this when you have a full or near full tank? The O-ring on the fuel pump can crack over time which will do this when the tank is full or nearly full. You have a bad gasket or O-ring somewhere for sure.

control of the hose connecting the gasoline filling holder. there may be a leak that part

Could be anything. Bad gas cap, evaporation canister bad, bad hose, engine running rich etc. No way to give you an accurate diagnosis simply too many possibilities.

"Tighten gas cap" means

1. That there is an air in-leak somewhere in the vapor recovery system of the car. Hoses and hose connections is a suspect place. So is the electric carbon canister vent valve. OR
2. It also can mean out of spec gasoline from the discount gas station.

If this was my car I would:

1. Top up with some decent gasoline.
2. Have the local shop clear the code and see if it comes back. Maybe do this several times until I am sure all the suspect gasoline is gone.
3. If it does, and as a last (expensive) resort, have the shop or dealer "smoke test" the emission system for leaks.

Good luck.

I can answer some of your questions without being there in person.
The smell inside the van is from fresh air entering the venting system. Not sure why you don't get it from all vents. The fresh air intake is in front of the windshield and will pick up any smells from the engine compartment.
Loosing the serpentine belt would not necessarily cause you to loose ps fluid, but having a leak could drain the pump and damage the bearings in the pump, causing the pump pulley to drag on the belt.
The ps pump could be in the final stage of failing.
And the shaft seal in the pump could be leaking fluid onto the engine and exhaust.

A rusted out fuel tube on top of fuel tank,
rotted & leaking hose or bad Evap System
Solenoid

If you smell it,it is leaking,fuel or fumes

Sounds like the heater core may have sprung a leak of coolant--although, there should be the sweet smell of antifreeze. If the heater hoses are original, they may be the cause of the leak due to rotted ends. In any case, the heater/air conditioner case will need to be opened, cleaned and repaired. You may need to replace all under-dash vent hoses to get rid of all the smell. Good luck!

A gasoline smell is from a leaking hose and you need to find that fast
You could have damaged a gas line during your repair work.
Get your money back on the damper repair. There are no gas dampers on autos.

It is a fuel pressure regulator. About a $60 item & 20 mintues to change.

Have them check EGR tubes, and any hoses, or tubes running to the exhaust. My guess is ones leaking while driving & getting drawn up into the incoming air at the cowl.