Disconnect the battery before opening the 14-pin connector.
Pry carefully with a small screwdriver.
Use dielectric grease on the pins.
I would check the connections on the starter Solenoid; the yellow wire coming from the ignition switch can get tired over the years.
There is a relay kit available to carry the load instead of the switch.
It mounts easily underneath next to the starter. The relay gets power from the main Terminal (Big Black and Red wire) The yellow wire goes to activate the relay instead of the Solenoid and then the relay powers the Solenoid. (Less load on the electrical portion of the ignition switch and the yellow wire)
It also helps to clean all connections to the Solenoid including all ground straps.
Have you ever cleaned the area on the body where the negative cable from the battery connects?
It's well hidden and usually neglected. Open the bolt holding the cables to the body, clean everything and reconnect with dielectric grease.
Good luck.
__________________
1980 Carrerarized SC with SS 3.2, LSD & Extras. SOLD!
1995 seafoam-green 993 C2, LSD, Sport seats.

Abstract Darwin Ipso Facto: "Life is evolutionary random and has no meaning as evidenced by 7 Billion paranoid talking monkeys with super-inflated egos and matching vanity worshipping illusionary Gods and Saviors ".