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It is very common for vehicles to be damaged in shipment to the individual dealers, a small scrape here, a ding there, that's not even covering something that was missed at QC before it shipped out of the assembly plant. What i'm getting at, is it is common for small paint repairs to have been done to a vehicle before you buy it brand new. As long as the repair is to your satisfaction, that is what is important.
i need clarification on the "remodeled" is that used? if not and its a reman trans, i would be back to the place that installed it, most reman'd trans have at least a 3 year warranty, with varying mileage levels. is the place that quoted you $2k (reasonable price) the ones that installed the "remodeled" trans ?
There is a front axle actuator that must engage also to lock in the front tires, i would have it tested/inspected to verify proper operation
the IWE solenoid is a very common culprit for this. IWE = individual wheel end. it's an electrical solenoid that controls vacuum to the front wheels for engaging he front axle. i would have it tested to verify, easy and low cost fix.
without seeing the vehicle, i'd say you need an engine, i would have a shop inspect the one you have, but guessing with repeated overheats, the current engine is bad.
step on the brake pedal and see if your brake lights are working, if they are, you need to diag the shift interlock solenoid, if they are not, check the connector at the brake switch, very common for the wires to break right at the connector, there are repair pigtails available at low cost.
it would be a good place to start, check how much fuel pressure you have. i have had issues with "low cost" fuel pumps and you could possibly have another bad one. i read in your post that your fuel light was on, if you constantly drive with low fuel lvl that can shorten the life span of a fuel pump, no fuel to help cool the pump, just food for thought.
they are notorious for "eating" coils, in particular, #3 and #4, there is a coolant line above them that can develope a leak and cause multiple replacements of the same coil. another possible cause could be bad injector, you need to have the codes to be able to narrow down which cylinder you have with a concern.
i just did one on a 2004 explorer, 4.6l the other day and the out the door price was $3400. now that is dealership pricing and Ford reman'd trans, shopping around to find a reputable shop i'd say you might get it at 2200 to 2500, just depends.
Its the fuel injector on a GM 4.3l it looks similar to a 6 legged spider (yes i know spiders have 8 legs) can also be called, multi port fuel injector