i think that we all bring aspects of ourselves to the relationship that dont necessarily make things better. not things that make us a bad person, but things that contribute to the conflict in our relationship. recognizing them is vital.
there are a lot of "dos and donts" when it comes to a relationship with someone with bpd traits. they arent intuitive, none of us were born with these skills.
this article on what it takes is a great place to start:
https://www.bpdfamily.com/content/what-does-it-take-be-relationshipas for withholding love, there tend to be explanations that arent necessarily obvious.
while i cant be sure, what you describe does offer some clues, and its possible that for whatever reason, your partner is having some difficulty performing. its not uncommon for a man to deal with this through avoidance of intimacy, and its not uncommon for a woman to perceive this as rejection of her.
when men are having difficulty performing, and they perceive pressure to do so, its like kryptonite.
it could be that he avoids kissing in the morning because he knows what it might lead to. that also might explain that when you asked him to turn toward you, so you could get on with it, why he got up to make coffee instead.
as for why hes doing it, its hard to say. it could be erectile problems. it could be feelings of pressure. it could be that he prefers to initiate. it could be that he has some fears or avoidance of intimacy. it could be resentment in the relationship. it could be a phase. it could be any of those things, it could be a combination of any of those things, and it could also be other things.
the key to resolving it, if possible, is communication. communication that doesnt accuse or pressure, but gives space and builds trust. all couples have to work at this, to listen, to understand each others needs, what makes the other tick, and how to work together in harmony.
in other words, dont assume the reasons hes withholding love, and dont accuse him of doing so. that just puts him in a defensive posture, and leaves both of you with resentment. instead, open the door to honest and frank conversation (more likely a series of them over time) and start by primarily listening.
this is a quick read, and a three minute lesson on ending conflict, and a great start:
https://bpdfamily.com/content/ending-conflict