Guild Wars 2

I just want to make sure I understand this correctly, because it is a bit confusing.

To get the favor of festival you must combine a favor of pavilion and a favor of bazaar.

To get the favor of pavilion you can either do the gauntlent and it has a chance of dropping when you kill a boss or you can do the world/zerg bosses below. Do all these have equal drop rates? Does killing lidari give you a much better chance at getting it than killing a tier 1? Does doing the zerg bosses give a much better chance than gauntlent?

To get the favor of bazaar you can do the events that start on the timer in labyrinthine cliffs, the doyak race and the brewing one. Are these the only ways to get the bazaar favor?

I really want to get some of the soverign weapons, though I find doing the zerg bosses boring at the moment (may get better when people decide to split up, but you know how pugs can be). I"m hoping i have different ways of doing it that have a good chance of dropping.