You do know how to tap a hole, right?
for cleaning thread wind it in a few turns with cutting fluid - car oil/2 stroke oil/Rtd/hydraulic oil/ canola oil if ya have to! the tap needs lubrication,and you need to tak it out blow the swarf out of it and wind it in a few threads more!
When tapping a new thread drill a hole the size down then run your tap in a few turns following same principles above,
the tap is made out of high carbon steel, it doesnt flex it snaps, if you feel resistance don't just wind it on thru she'll be right!, give a a small bit of elbow back it off clean the tap more fluid try it again..
E z-out/remover kit yeah same principle applys for them as well don't go hard on them they just snap!
Hope it works out for you, sound like your in a pickle, good luck.
Cheers, Cam.