Nub.
I have the MZE on both my Pat Dually and Pro40 Dually and have not had the problems you seem to be having.
The cable guard on my Pat did start to work its way out but I did catch it in time and loosened the inner set screw

and pushed the rod back in

tightened up the set screw and it has not moved since.
I can see if your cable rod is bent then the MZE cable slide could be catching but the cable rod is carbon ( I think ) so how did you bend rod?
Now what hole did you put the turn buckle in?
If you want I will take some pics of my set up and email them to you.
As for the odd flyer are your arrows spined properly and dont go by what the charts say as the BT' s like a stiffer than normal shaft.
Sorry I cant help you with the target problem mine are only 60lbers and I have trouble pulling arrows these things hit like a Mack truck.