ok...
so i did start some of those quests
i finished "the experimental weaponsmith" (you get the reward there)
and
"Melodic Gaki Flute"
and started
"the beak of darkness"
do experimental first, then you're right near the other 2 - dont just charge in though 3 lvl 28 assasins spawn - if one of you try and take them on it could get messy.
from there i did what you guys could probably run - head south (you'll need to go east first) to saint anjeka's shrine - just to open the map up.
i then went up to house zu heltzer (map travel) got the gaki flute reward and a new quest - "discord wallow lyre"
i then went back to saint anjeka's shrine, headed south and finished discord wallow lyre - and then got the reward and obtained the quest "rhythm drinker drum"
i now have 5,300 faction in kurzicks.
in short - i finished experimental weaponsmith, melodic gaki flute and discord wallow lyre, and progressed one step in the beak of darkness - that probably around an hours work - probably less.
enjoy