I have a 2003 Santa Fe my tail lights are staying on. What can I do to eliminate what could be causing this if there is more than one problem

SOURCE: 2003 santa fe

It needs a new pruge valve. The purge valve is sticking open allowing fuel vapors into the intake manifold causing a rich hard start condition.

SOURCE: transmission filter on 2003 hyundia santa fe

In 2002 they discontinued the external trans filter. So your vehicle could have the external filter. If you look next to the trans dipstick tube, on top of the trans case you will see the filter or you will see just a spot where the filter use to go before they eliminated it. Yes, the filter does llok like a regular engine oil filter. If the trans does not have the external filter ontop then there is no service to the filter to be done, the only recommendation is to bring vehicle into a shop to have the fluid flushed. By the way, make SURE you use the correct Hyundai SP-III trans fluid (not dexron/mercon). This fluid is specific to the Hyundai and can not be purchased from auto parts stores, only the dealership. Failure to use SP-III will cause premature wear to the internal bands and clutches.

SOURCE: The rear hatch on my 2003 Hyundai Santa Fe won't stay up.

Yes. Your Local Auto Parts Store should Carry these as Direct Replacements. If Not, Sears Carries them.

SOURCE: 2003 Hyundai Santa Fe ABS light is on along with TCS light

you may have damaged the ABS sensor or wire to the sensor up front check the wire that runs from the inner finder well and make sure it connected to the ABS sensor on the spindle

SOURCE: How do I replace the tail light assembly on a 2003

You'llhave to raise the rear compartment door fully. Next locat the tailight you wish to replace or same if you are replacing one of the tailigt bulbs. This would include the stop bulb or turn signals etc.
Next there is a black plastice side panel located between the lamp assembly (the entire plastic housing) and the inner portion of the rear compartment door. There you'll see two phillips head screws which you must remove. This releases the entire assembly.
You then next gently give it a small tug toward the left (if a left side assembly) or to the right if other wise. What happens there is that there is a stud that's held pretty snuggly by a modled ring in the body assembly. Don't twist the lamp assembly up or down unless you want to break this off but give it a slight pull outward. Then you're done. The entire assembly will be released and you'll be home free for changing any of the bulbs or even replacing the entire assembly. W/o breaking it of course.