We watched this on Friday and it made me saaad

.
In terms of what made him do it, I have a STRONG suspicion that his girlfriend was lying when she said she had never indicated that him having a family was a problem. I don't think she was involved in any way, but I think he hid his circumstances from her for most of their relationship and then revealed that he actually wasn't separated etc. at the "weekend dinner" they had and she indicated that him having a family indeed was an issue and - for unfathomable reasons - that lead him down a path of "getting rid of the problem".
I might be totally wrong obviously but her reaction when they asked came off as defensive, understandably, as she would have been scared about being implicated more directly. So basically I don't at all think she said "get rid of your family" but perhaps did say that they couldn't be together because of his circumstances.