Some info on the dielectric grease:
http://www.wisegeek.org/what-is-dielectric-grease.htmYou can apply generously to the "pockets" in the connectors, the grease is not conductive, and is designed to prevent oxygen, and moister, from corroding or tarnishing the contacts.
However I think the author of the page may not be a "car" guy:
Quote:
Dielectric grease is widely used as a sealant for spark plugs in gasoline or diesel engines, as well as on the gaskets of multi-pin connectors in the electrical systems of vehicles and boats.