Still could be the dashboard switch or the turn signal multi switch. Although with the dome light (which is not part of the head lights) it sounds like there was a short, one wire got really hot and melted its insulation and possibly others so you're getting intermittent shorts.
The headlights have separate wires for left and right so do the fog lights. Fog lights have 1 wire (they use the body for ground) and the wire goes into the fender behind them and then into the back of the headlight housing. There it connects to a single pin - there is a 2 pin plug there for the side panel marker.
All of those and parking, turn signals and high and low beams are powered from the one big connector.
There are at least two fuses for headlights (I don't have a wiring diagram handy)
Sounds like you need a flashlight, a volt meter, a long wire, some electrical tape and to spend some quality time under your dashboard.
Some time saving hints:
Get a wiring diagram - it will have PIN numbers and all of these connections are numbered
Get a mirror or something shiny put it in front of your car so you can easily see which lights come on.
Get your old headlight or some other electrical load run + from the battery to it and use the other end to test connections at the switch (if there is a short or you accidentally touch the wrong thing you won't do more damage)
Be methodical and careful
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