Lots of people have missed me - they need to practice more. I wouldn't have missed them, but that's from years of practice on the ranges and in the field.
That smell is probably wiring thsts melted its sleeving. Get a wiring diagram up and look for the wire coming from your relay to the ignition switch. From the switch there will be another wire group which makes the whole system live once the ignition is switched on. Run back along thst route to the fuse box and see which wires come off the fuse thst keeps blowing. In turning the battery round you loaded the whole circuit with an unadulterated charge. Wires got hot and burnt through their insulation more than likely. Eliminate that before you start worrying about components themselves
The wiring is your no cost option at the moment. If any of it is burnt through its pennies to fix. After that if the wiring is good you can start going round component by component in the order everyones spoken about above, but first I’d just concentrate on the troublesome circuit.