When he runs this time, I hope he gets the full support of the Republican party. I hope that the Republican Party of PA will not be so foolish as to back Specter.
The NRSC will back Specter if he decides to run again. They did so in 2004.
Their policy is that the incumbent GOP senator will always be backed over a primary challenger.
In the case of an open seat, they’ll try to remain neutral unless they feel one candidate is heads and shoulders above the other(s).