Greek: Not really. If you recall, Edwards ran as Kerry's VP in 2004 (after a failed attempt at clinching the Democratic nomination for president) yet he ran again for the presidential nomination this year, but alas he was unsuccessful this time around, too.
PJ: Yes, the Republicans have a history of doing that. I only know of one occasion that the Democrats tried this (can't for the life of me recall the candidate's name off-hand), but he lost both times.
Salve, Regina, Mater misericordiae
Vita, dulcedo, et spes nostra
Salve, Salve Regina
Ad te clamamus exsules filii Eva
Ad te suspiramus, gementes et flentes
O clemens O pia