I'm sorry to know that there are some rocky shoals present in your relationship. That happens periodically in most relationships, but generally not those of a couple of years together.
I'm trying to remember the first two years of the relationship with my life-partner. I don't think we'd moved in together yet. That happened when we realized that we were both maintaining apartments, with the same stuff in each one, and it wasn't all that easy for me to merge my life with his completely, and vice versa. I do remember we had a good laugh about living together, and then stopped laughing and fucked like whores. One thing that helped was, we'd have an occasional "time-out", when one or both of us could describe any issues, and the agreement was that no ill will would be permitted. That helped, in that it was a planned "thing", whenever one of us needed to express whatever it was.
I think he was less interested in living together, concerned that I might not like what a sexual pig he was - the dummy - I was deeper in the pigpen then he was. But when we first met, we were both having sex with some other guy. The point is, being flexible enough to accommodate at least some of the other guy's needs is essential, but you already know that. So our relationship regarding sex was relatively open from the get-go. If your relationship with K. isn't/wasn't (I'm not putting it in the past tense quite yet), quite as laid out, defined, whatever, then maybe there's a chance to rebuild.
Obviously, I don't know either of you, but I hope that at least some chance remains for a reconciliation.