Best thing to do to the rear lights is to get a new pair of the bulb holders if they pins are rusted where the connector goes or solder the wires direct to the power tracks on the bulb holder, this is what I do, the main problem is usually the earth, often just soldering/screwing a wire from the earth track of the bulb holder to the body works wonders, I usually use a light mounting stud with a ring terminal etc.
For the reverse lights check out the power at the switch itself on the gearbox with ignition on one wire of the two should be live, the other one of course leads to the lights, bridge these two and if the lights then work(assuming you do have a correct live on one wire) then it is a switch problem.
The idle speed can most likely be sorted by cleaning the idle speed control valve.
The sound from the blower could be either the bearing is noisy, will still last years normally or it could have leave sin it if someone has left out the pollen filter.
For the heat issue is it just the heater or is the engine running cold ?, if engine as well change the thermostat, if just heater check first the bowden(cable) from the dial to the heater box in case it is out of adjustment, or popped off, some do sometimes.
tabetha