Man, seems like you got a lot to deal with besides quitting and the stress that comes with it. You should probably try to focus on yourself first and do what's best for you; you would then be able to better deal with other concurrent issues with a more lucid mind. If you try to juggle way too many things at the same time, you might end up not satisfied for you wouldn't have given 100% had you taken one challenge at the time.
If you feel you need to take a pause from the relationship all the while going thru the quitting process, do it. If you feel you can go on with the relationship all the while going thru the quitting process, do it ... decisions decisions decisions
I don't mean to make light of your stressful dilemma but hey laughter is a proven stress reliever. I know of a reputable,
EXCELLENT and
THOUGHTFUL therapist who might just be what you need. I don't have his name but you might have heard of him lately