Question 1......... i wouldnt be cutting holes in any electrical plug and id leave it as it is. Iirc the plug has a little tab anyway so it cant just fall off.
Question 2.......... yes you can remove the egr and the pipe that goes into the air intake manifold but then the hole left in the intake needs plugging up. Of which there are a few ways of doing and a quick search on here.
Thats the only pipe that needs and can be removed.
As for a cheater, just buy a blanking plate with no holes (apart from the two for the bolts lol). Put that on and then put the egr back on but only by one bolt and leave it so its hanging ove the engine.
Hope that makes sense but its been a while since i had a z22se engined car
Edit.....ive just read your post again and have a question for you.
If you have broke where the egr bolts on to, how have you fixed that plate you have put on?