Rear number plate bulbs and rear defrost don't work

hi Richard
yes wiring could be the problem but your wiring loom should not need replacing may only need repair, check your lic. plate bulb socket for power with the running lights on / check wire from bulb to left/right side for cracks in the insulation of the wire (looking for any shorts)
the lic. plate lights get power from the tail lights (running lights) if your running lights are not working also u may have a blown fuse
if not look for a brake/cut in the wire going from the tail lights to
lic. plate light sockets.

[PDF]Wiring Diagram.pdf - Ken Gilbert

ken-gilbert.com/wrx/mans/99.../Wiring%20Diagram.pdf

Each connector number shown in the wiring dia- ... Rear defogger cord (Ground). Fuel tank cord,. Roof cord, ... circuit. Then check the switch, relay, fuse, ground, etc. 4. .....Rear wiper motor. Rear wiper ... License plate light RH. Tail light LH.

#? license plate light - Circuit Wiring Diagrams

circuitswiring.com/tag/license-plate-light/

2008 Volkswagen Newbeetle Main Fuse Box Diagram 2008 Volkswagen Newbeetle ...Parts: rear window defogger, shift lock, battery positive voltage, interior light, A/C clutch, ... brake light, daytime driving light, wiper and washer system, vacan, fuel pump, central ... 1997 Suzuki Geo Tracker Left Dash Fuse Box Diagram.

#? license plate light - Circuit Wiring Diagrams - Page 3

circuitswiring.com/tag/license-plate-light/page/3/

Audi A4 Engine Fuse Box Diagram Audi A4 Engine Fuse Box Map Fuse Panel ... mirror control, wiper, washer, horn, brake light, cruise control, heated rear window, ... 2003Suzuki Aerio Dash Fuse Box Diagram 2003 Suzuki Aerio Dash Fuse Box ... rear defroster, fuel injection controller, radio, A/T controller, hazard light, ...

Check the wiring to the rear hatch. The cables break and cause a variety fo problems like yours. You will have to take the plastic cover off and expose the cables.

2005 dodge caravan rear defrost don't work

blinkers sounds like the flasher unit is not working. It's located under dash. Also check for burnt out bulbs.
Rear defrost, or rear defogger?: Your defogger for the rear window would run off a relay, probably located in the fuse panel of your car. Often, the connections at the rear window get broke or disconnected.
Front defrost: does your heater blower work?

If fuse #34 in the rear fuse panel is OK, then problem has to be in the tail lamp circuit board at each rear corner, or in the wiring.

park lamp and license plate share same fuse.check park lamp fuse.if fuse good you have ground wire problems.

On this website (link below) you find fuse box diagram and description for Acura MDX (2004)

Acura MDX 2004 fuse box diagram Auto Genius

Possible corrosion preventing a solid electrical connection, either at the bulb sockets or the fuse panel.