A dripping tap is easy to put off and usually a small job once someone looks at it. On a well it is also costing you pump runtime.
Why it drips
Most taps have a cartridge inside that wears and stops sealing. Turning the handle harder just wears it faster. Replacing the cartridge normally solves it entirely.
Well water is harder on taps
Iron and sediment coming through from a well wear cartridges and block the little screens in the spout much faster than treated water does. If you are replacing washers and cartridges more often than seems reasonable, treating the water usually solves the underlying cause.
Poor pressure at one tap
Nearly always the aerator screen. Unscrew it, soak it in vinegar overnight, refit it. If the pressure is low all through the house, that is a different problem — and on a well it often points at the pressure tank or the pump.
Check under your sinks
The flexible supply lines and drain fittings fail slowly and quietly. A quick look twice a year is worth doing, especially in bathrooms nobody uses often.