What the hell happened to your high pressure hardlines?
And yes, you need them to have functioning A/C.

My recommendation would be to take this mess to an A/C specialist who can fabricate a hose with the correct fitting on the compressor end. And considering how mangled the hardlines are, I wouldn't be surprised if they begin to leak.

EDIT: Having merged the threads and seen all the original pics... my suggestion is to re-plumb the entire high-pressure loop by using new Civic hard lines and a custom hose to connect to the A/C compressor.