Geeze, how the heck do you "refurbish" a thermal pad.
I would think a local computer repair guy would give you a piece if he had it, but yeah its the right one for your machine.
Paste is meant to fill in tiny irregularities in the top of the processor and bottom of the heatsink. If it is applied to thick, you risk the chance that the heat from the chip will cause the paste to spread out and drop, losing its optimum cooling ability. Sometimes making it worse than having none.
I'd say the pad was put there for a reason and I would stick with it.