Ford Focus MK1 Millenium, Electrical Problem?

Hi all had these problems for a while just worked around it and not tried to fix it ! but the time has come to sort this out.

1. Since the key fob stopped working a few years ago, the central locking hasn't worked properly i.e. locking the door from the passenger side will unlock and lock all the doors etc, however when from the drivers side it will only lock the drivers door, i assume the problem is electrical wireing however sometimes there are noises that it atempts to lock the doors but dosen't .... loose connection somewhere ?

2. This again is an electrical problem in that when stopped at traffic lights etc, when a dash light is on it flickers slightly, like when the handbrake/ stop light is on. The other part to this problem is that when driving at night and the lights are on, if you decide to use either the front or rear heated windscreen the main lights will dimm until the heated screen turns off.

3. The final problem....... think i have this one sorted, just looking for any ideas before i bring myself to fix it...... for a long time and a few long distance journeys 100Miles + without coolant of anysort, the car started to jurk when going slow, but when coolant was added problem was sorted... but leaks and needs replenishing like once a week.... guessing ther's a crack in the radiator somewhere.

Thanks inadvance