We need to know which Mini you have, at least the year, whether alternator and dynamo, and centre speedo or triple instrument cluster etc, in order to know the configuration of your electrical system. Special variants with fancy trim etc don't mean much, it is just the base vehicle configuration that matters. Or, how many fuses you have, a double fuse box, same with some inline fuses too, a 4 fuse box and some inline, or a larger box.
The reason I am asking for more specifics is that, as far as I am aware, there is no Mini which has a single fuse controlling both lights and indicators. It would actually be impossible, as the lights are fed from the battery feed (brown circuit) while the indicators are fed from the green, fused from the ignition-controlled white. And, fusing all the lights with a single fuse is illegal and dangerous.
Make a clear list of exactly what did not work. Headlights, for instance. Did the headlight flasher still work? Electrical fault diagnosis depends on as full and accurate information as possible. I once diagnosed a fault on a large turboprop airliner which was stranded in Rekjavik on the way to its first Farnborough air show, down to a pair of wires, on the basis of accurate but very limited information. When the offending unit arrived back for repair, we found that it had been damaged during a last-minute gearbox change, and sure enough, the relevant two pins on one of the connectors were damaged. So it can be done, given as much information as possible....
Meanwhile, it is always a good idea to clean up all the fuses, terminals and bullet connectors in the car and apply a generous amount of Vaseline, to discourage corrosion. There are special greases for that purpose, but Vaseline is ok and readily available.