Will can express insistence/willingness and won't refusal/unwillingness in the present.

Would can express insistence/willingness and wouldn't refusal/unwillingness in the past.

I had asked Joe to leave me more space but he would park his car next to mine, so I couldn't get out.
Try as I might, the door wouldn't open.

Couldn't + perfectThe aspect expressing completion. E.g.: He’s finished university. infinitive can also express unwillingness.