MY RIGHT TURN SIGNAL STAYS LIT UP AND MY JEEP KEEPS BEEPING

SOURCE: turn signal

try a flasher

SOURCE: Replace front turn signal bulb on a 1998 Jeep Grand Cherokee

first remave the headlamp and then remove the marker lamp assy.

SOURCE: Jeep Liberty Left Rear Turn Signal Not Working

sounds like the bulb you have is the wrong resistance the new noen bulbs will do this

SOURCE: left rear turn signal and brake light dont work

You have a broken wire to the turn/brake light portion of the light as they use the same wire. Or where the plug goes into the light assy could be bad. Torsion mount lights are horrible and you should think about replacing with a universal light that you can wire direct.

SOURCE: oil pressure on my 98 jeep keeps droping down to 10- 20 lbs .

The low number bothers me...some people will tell you that 10lbs is fine, however this engine generally runs at least 30 at idle hot, sometimes a bit lower but not much.Pressure drop hot is because the oil flows easier when warm, and internal clearances change as well. First, I would have the pressure verified by using a mechanical gauge (yours is electric) If actual pressure is the same as your readings, I'd change the oil and add marvel oil to remove any deposits which may be on the pump pickup screen. Check oil you drained for fuel smell to make sure it's not contaminated.
If pressure does not improve, or drops further, you are going to have to drop the pan and check for bearing wear.(pumps generally don't go bad...wear at the bearings allows pressure to escape) If you find any bearings out of tolerance, change them and the pump as it may have some internal scoring from debris.