Viz, thanks for the info. I'll post a picture of the engine bay in a couple of days.
I fixed the slow flashing on the indicators by fitting an electronic flasher from a Land Rover Defender. It's not ideal as the wiring for the flasher must have high resistance since it was flashing so slowly. I'll have to sort that out at some point.
The wiring behind the dash is a mess. I've been able to remove unnecessary or wires which weren't connected. The EXH wire wasn't connected at all. There's a whole clump of wires that go up the driver's A pillar an disappear into the headliner. I'm thinking that was for the radio, but I'm not 100% sure.
I haven't found the hazards relay or the dip/dim relay yet.
I thought I had LED tail lights because of the pattern the light was showing, but when I took the lens off, they're not LED. I did fix the brake lights by installing a switch I picked up from Minifix.
The reverse light still isn't working. There's power going into the switch, but nothing coming out of the switch when the car is in reverse. I haven't gone underneath the car (I don't have anything to raise it yet) so I'm not 100% sure what the issue there is. From what I understand it's screwed on. Maybe the switch backed out a bit and isn't making contact.
The rear fogs aren't working and I don't seem to be getting any power to the switch at all. Perhaps I only tested it with the headlights off though. I can't remember. I believe the headlights must be powered in order for the rear fog switch to receive power.
The fuse block looks pretty bad and could do with a good cleaning or replacing.
I got some used taillights from Minifix to replace the Mk2 lights which don't have the reverse light in them. Unfortunately one of the taillights I got from Minifix has a big crack in it, which I didn't see until I got home. I haven't fitted the taillights yet because it's been rainy ever day I get off work, so I'm stuck working on wiring inside the car.
The front right headlight is super dim. I assume really low current through the wire (bad/corroded connection somewhere) or a bad ground. I haven't pulled the light off yet (dark and wet when I'm able to work on the car) so I haven't been able to look much into it. I may just connect a temporary wire from the left side to the right side so it'll pass NCT.
I ordered new tires. What do you guys use to jack up and support the car? Do I need a low entry floor jack? I'll probably have to get some jack stands too so I can take the wheels off and get the new tires mounted.
As of now, I'm very frustrated with the car. Being from an auction of which I have no idea the shape of the car is in, it's been a pain. I was hoping to not have to do much to it, but it seems the nature of the Mini requires attention (especially in the electrics department).
I also have to figure out how to get the car to the registration appointment. Apparently you can get temporary insurance or get the car towed. I'm concerned with towing the car considering all the tow drivers I've experienced here show up hours late. It's taking me two weeks to get the registration appointment. If I can't make it because of a late tow truck driver, that'd be bad news.