for the pivot: ive hit the pivots before with white lithium and it worked ok.
where is the squeak coming from? i would guess the rear brakes. if you can make it squeak when the car is off, apply the e-brake and then do the brakes. if the squeak is gone, it is most likely the rear brake hardware. you can pull the drums and clean and grease everything up....some of my cars do it - i dont worry about it.