Most Helpful Guy
It does sound like he is interested in you, but I don't think you should push him into anything. This may cause him to distance himself. I'd send him a text saying, "hey I know you are busy with family and that is the most important, would enjoy getting together again if you happen to have some time. If not no worries at all!" This would make a move without playing all your cards. This keeps him intrigued and shows that you are not going to cling or be high maintenance.
As for the other woman, it's hard to say with the information you provided. I'd say it could be interest, but also I doubt as a man you'd use the L word with a girl that you were interested in but not committed to, even as a joke. That is playing with fire in my opinion. My guess is that he may view her as just a friend.