Dear Huskerdooo,
Hope you're well. To your advice I'd add. A 25-watt soldering iron provides a margin of safety. If it necessary to add solder, use only rosin-core solder. Solder suitable for plumbing is acid-core, which should not be used on electrical/electronic items.
When the factory-installed solder changes color from dull gray to shiny silver, it has liquefied. Any micro-cracks in the joint will then be closed-up.
I would not solder the gas gauge screws. This will greatly complicate removal, should that ever be needed.
Remove the gauge screws and examine the underside of each screw head and the screw head's contact area on the circuit panel. If there's corrosion (white or greenish film) there - or on the circuit panel - gently and carefully polish with very fine steel wool and re-install the screws. Tighten until snug.
If your car lives in an area with high humidity, you can seal the connection between the gauge screws and the circuit panel. After you have snugged the gauge screws, use a cotton-tipped swab to apply a thin coating of di-electric grease around the side of the screw heads. That will keep airborne moisture from getting under the screw head, and causing corrosion.
Hope this helps.
Yours faithfully,
Spook
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