BF - you are so hard on yourself - a new and demanding job and a relationship breakdown are a lot for anyone to deal with.
Sometimes we go into survival mode to keep going. You are still functioning, but need time to recover emotionally.
If it helps - the recent on-going legal action from my xh has really upset me, because I still do not like having to deal with the person he is.
I would suggest that you give yourself three months and then review the situation. Give yourself permission to do very little.
One view of dreaming is that we deal with stuff from our subconscious. Dreaming is a healthy thing to do.
I felt the strong connection for some time, and in fact I think it is still there, unfortunately. I remember thinking about him a few weeks back, and I suddenly realised he was going to call me - and sure enough he did.