Whatever i try to do i am unable to use an enchanting table to open the gui, it just does what a wand would normally do when right-clicking.

Everything worked fine until i disabled the engineering example. suddenly the wands went to beginner and wont open in an enchanting table anymore.

So basically what i want is to use the wand on an enchanting table to open the progression gui.

That sounds like you also accidentally removed survival as well. What does mexample list say?

It says

Examples:
  - spawnmobs
  - survival

Try using mexample set survival spawnmobs

this will put survival back as the main example and hopefully fix your problems.

I tried it but nothing changed.

I figured out the wands didn't work because when i disabled the engineer example the classes of people stayed unchanged so it wasn't recognized. though i still do not know how to fix it.

Ah, I see- that's unfortunate, sorry. I hadn't really thought about that... I also can't think of a good solution. Try this, maybe:
/meditor path engineer, and then put in the editor just this:

engineer:
  inherit: master

Then do the same for architect, that may fix it? I'll try and come up with a better solution.