Breaker is one of the original 13 GI Joes. He's basically an ugly green shirt wearing hick (think country comedy singer Ray Stevens if he was a soldier) and the only bit of "personality" that Larry Hama gave the fucker in the comic, was that he likes to chew gum and blow bubbles.
The original Breaker is ugly as sin, so much so that when he got a comic pack update and a 25th Anniversary figure, they removed the beard entirely, gave him a full head of hair, and made him look handsome/pretty. And for his Classified figure, it's clearly showing how little fucks they give about Classified in that they basically gave him Clutch's face in so far as the figure basically looking like Clutch but having Breaker's name slapped onto it for reasons I have no fucking clue regarding; save for the fact that they probably got scared that fans would complain over Clutch not getting his proper vehicle for Classified.
Barbecue was semi-heavily featured in season one of GI Joe; he was a fire fighter soldier and basically a red headed mick from Boston who speaks with a Boston accent and is your cliched Irish-American loudmouth. Sadly, they never bothered to establish a connection between him and Scarlett, as Scarlett's background had her be from New England and coming from a big Catholic family and her parents/father being firefighters as well.
Also, Barbecue along with Airtight, were characters that Hama tried to make be updated versions of the original Green Shirts under the guise that they would "sell better as updates of existing characters".