My 2003 Mitsubishi Outlander has issues with the radio cutting in and out, rear windshield wipers do not work, and sun roof does not work. What could be the issue?

Because your looking for a relay.

I actually took a 06 Commander in last week with the same problem. We checked the windshield carefully, and then drivers door moldings and then blew out the drains for the sun roof.
It still leaked down through the drivers' side drain line area of the sun roof, around the window moulding, and dripped right in the vicintiy of the rear of the radio.
We finally found the problem by dropping the head liner down and using an inspection mirror with a flash light. We disconnected the drain line and plugged the nipple opening and poured a small amount of water into the sun roof pan and located a hole in the drain pan just above where the nipple is formed for the drivers' side sun roof drain line.
We could not see the actual leak source without the mirror and flashlight, as it was on the interior side seam facing away from the drivers' door opening.

Since carefully sealing the drain pan seam just a 1/4 above the drain hose nipple on the interior side, slightly above where the drain hose connects, the problem appears to be solved.

It appears to be a manufacturing defect in the plastic seam in my opinion. Could just be a faulty radio if your car doesn't have a sunroof, or a leaking windshield gasket.

Have you checked the fuses yet ? Sounds like a major power fuse has blown.

Right disconnect the battery and see if stops as i have had this problem before and the cause is a solar panel in the sun roof will cause this motor to run to keep the interior temperature down on a hot day .This had me well baffled last week with a AUDI A8 i spent a short while thinking what the noise was then when i found the noise was the blower motor i started to try to think of all the causes i think off then i looked for the fuse board when i thought disconnect the battery first --- and the noise still continued and it was hot over 30? C so i took my overhauls off and threw them over the roof getting ready to look for a second battery somewhere and the noise stopped ,removed the overhauls and it started again so look at the sun roof and it had a solar panel in the glass .BOY DID I FEEL LIKE A IDIOT

i have a 03 outlander, went i turn the engine on, my wiper turn on and they star to spray water too. or if i turn my a/c, it turn the wiper on and they spray water and the light come on too.

I have the same problem! AC compressor kicks on and the lights, wipers and spray go on intermittently!

if you open the hood look towards the base of the windshield, you should see the linkages for the wiper arms. make sure the linkages are all in-tact and nothing fell off. if the linkages are all good, see if you can move the passenger side wiper with your hand, if it moves freely or with little resistance check the nut/bolt that hols it on at the end of the wiper arm. see if the nut/bolt is loose. tighten if needed. also you can remove the nut/bolt and check the splines on the wiper arm where it presses onto the stud and see if they are wiped out.

try tapping lightly on the base of the wiper with a rubber hammer. do not break your winsheild.

it might be blocked remove the hose and press the lever for the sprayer if water comes the jet is blocked. if this helps please rate

your owner manaul has it. your fuse cover should have chart too.

here is 96 tracer. You also have main fuses under hood.

INTERIOR FUSE JUNCTION PANEL REFERENCE CHART Fuse Fuse Rating Color Protected Components (REAR WIPER) 10A Red Rear wiper and washer motors, heater and A/C relays, daytime running lamps control (Canada), climate control assembly panel illumination HAZARD 15A Blue Front and rear turn signal lamps, turn signal indicator lamp, indicator flasher ROOM 10A (1.9L)
15A (1.8L) Red
Blue Dome and map lamps, safety belt warning chime, ignition key illumination, luggage compartment lamp, vanity mirror lamp, radio chassis (memory), power door lock relay, shift interlock system, powertrain control module (PCM), radio amplifier (memory) ENGINE 15A Blue Fan control (FC) relays, PCM relay RADIO 15A Blue Radio chassis, radio amplifier, remote control mirror, instrument panel illumination (DOOR LOCK) 30A Light Green Power door lock actuators BELT 30A Light Green Passive restraint control module, passive restraint motors (POWER WINDOW) 30A Light Green Window regulator electric drives METER 15A Blue Instrument cluster, backup lamps, rear lamps, speed control system, shift interlock system, safety belt warning chime, passive restraint control module, hazard flasher, PCM (1.8L Canada) WIPER 20A Yellow Windshield wiper motor and windshield washer pump STOP 20A Yellow Stoplamp, horn (1.9L only), rear hi-mount lamp TAIL 15A Blue Parking lamps, cornering lamps, rear lamps, license lamps, compartment lamp, instrument panel illumination (SUN ROOF) 15A Blue Sliding roof panel motor ABS 10A Red Anti-lock brake system (ABS) (1.8L only) (DEFOG) 20A Yellow Rear window defroster HEATER 30A
circuit breaker — A/C blower motor HO2S
(ON INTERIOR FUSE JUNCTION PANEL SIDE) 10A (1.9L)
20A (1.8L) Red
Yellow Heated oxygen sensor (HO2S) CIGAR
(ON INTERIOR FUSE JUNCTION PANEL SIDE) 20A Yellow Cigar lighter knob and element CIGAR 20A Yellow Cigar lighter OBD II 10A Red Data link connector #2 BLOWER 30A Light Green Blower motor relay HORN 20A Yellow Horn (1.8L only)