Pretty early for a mineral caused failure. And minerals would effect cut in as well as cut-out switching. Have you checked to see if the pressure tank is working correctly [waterlogged?] Is there any water hammer in the pipes when shutting off?
Could be a check valve issue causing the water to "bounce" the contacts at shut off. If the contacts open-close-open close at shut off, listen and feel for water in your pipes jumping around. Try to shut off the contacts by pushing them shut prior to pump off manually with a dowel or insulated tool. If you see the pump spring and diaphragm moving up and down, you have other issues than plugged tubing.
You can buy replacement contacts for most switches and not have to disturb the plumbing when repairing it. Be sure the switch is on a tall riser, say 5" of plastic and then a plastic or SS 1/4" nipple another 3 or 4 inches. This gives you an upward "trap" and keeps sediment out.
Swap the switch, and raise it up, but I think you might be on the wrong track.
I had a well that caused the pressure switch to do exactly what yours does at shut off, and by raising the cut-out pressure to 70 psi, it was remedied. I guess the lower flow at the moment of shutoff caused a reduction in water hammer . Water does not like to be stopped in its travel abruptly, and if you have a high flow pump and close it down fast, the water will cycle back and forth for a few travels until the pressure surge dissipates. Or a pipe breaks. The diaphragm in the pressure switch acts like a little pressure tank and absorbs the bounce, causing the contacts to cycle.