The backgrounds are mainly for roleplaying flavour and to give a rough archetype for the character’s past, though some of them give mechanical benefits during wilderness exploration.
Whether or not the gunslinger’s from the Drifted World mainly informs roleplaying so could be included in the Notes section.
You can choose to roll on any or all of the starting gear tables, trinkets included.
Good point about the bandolier, I’ll fix that in a future update.
Thanks for the feedback!