check the thermostat, then the water pump, check for leaks (antifreezer) and be sure of having enough antifreezer in the reservoir. All things you should do. However at that age I would bet a paycheck that you need a new radiator.
Overheating the engine shouldn't effect the transmission. Overheating the transmission could.
You have it checked for codes, and have the cause of the code repaired.
There are many reasons why a Jeep Wrangler is overheating. A leak in the radiator system will cause overheating. Too much pressure in the engine can cause overheating. A bad water pump or thermostat could cause overheating. The transmission can also cause overheating if it is leaking.
Two but the upper would be the one to cause problems
Yes, because it will cause your fan to not work at all therefore cause the overheating.
A bad fuel pump can cause stalling. The oil pressure will show low oil on the lights or gauges but if the pressure is ok then the switch should not cause stalling.
A 2004 Dodge Ram will begin stalling out when it is not receiving enough fuel or air. A weak spark or defective spark plugs will also cause stalling.
Yes, if the belt tension is not tight enough it won't spin the radiator fan due to slippage. Replace the tensioner pulley.
Bad fuel pump? check the fuel filter first you would be surprised how many problems a clogged filter can cause
You need to have the codes read. You can then diagnose the codes. The code will probably point to the cause of the stalling.
Stuck open thermostat. Plugged up heater core. Temp blend door malfunction.
your door may not be closed all the way or the keys are still in or you did not lock it.