Not sure if they're related or not - the boot shut could be the rubber loom that goes between the body and bootlid, wires break from it flexing between open and closed over the years.
I'd tend to address them one at a time and see how it goes - the temp reading dimmer is odd, never heard of that before - is it actually reading a temp or is it stuck at a value like -40
Fuel gauge most likely the sender in tank
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