I'm not sure (I don't know which of the DLCs are the "Headhunter" ones). Everything that is included is there at the link:Does the complete edition come with all the Headhunter DLCs?
Borderlands 2: Game of the Year Edition
Borderlands 2: Captain Scarlett and her Pirate’s Booty
Borderlands 2: Creature Slaughterdome
Borderlands 2: Mechromancer Pack
Borderlands 2: Mercenary Day
Borderlands 2: Mr. Torgue’s Campaign of Carnage
Borderlands 2: Psycho Pack
Borderlands 2: Sir Hammerlock vs. the Son of Crawmerax
Borderlands 2: Sir Hammerlock's Big Game Hunt
Borderlands 2: Tiny Tina's Assault on Dragon Keep
Borderlands 2: TK Baha's Bloody Harvest
Borderlands 2: Ultimate Vault Hunter Upgrade Pack 1
Borderlands 2: Ultimate Vault Hunter Upgrade Pack 2
Borderlands 2: Wattle Gobbler
Borderlands 2: Wedding Day Massacre