As others have said, it's clear that Jay holds his family to be more important than having a job or being a good friend. Sure, if it was a family emergency, then it would be the right thing to do. But helping someone move house is hardly worth blowing your chance of working in a whole town and dissing your friend over. Well, it's not worth it to someone who actually gives weight to these things. If he really wanted a job in LadyL's town, he would have found a way. "I can only help you move from 1-3pm, then I have to get ready for my DJing gig," or whatever.
I wouldn't say anything--it's LordL's friendship to work out. But if I were LordL, I would be not impressed, and would cool off the friendship a bit, since it apparently wasn't what it appeared to be from his end. And for LadyL, if Jay begins his spiel about how he is so bored and wants a job etc. something needs to be said, because it is nothing more than blatant lying or self-deception, which is rude to subject people to. Many posters here have given good ideas. I like something along the lines of, "Jay, don't be silly. We both know that's not true. You decided to get rid of your chance of working in our town when you chose not to meet the commitment you had made with That Guy. It made LordL look very bad, too. So stop pretending you want work in our town when you already decided to burn that bridge. It's obvious that you don't want to work very much at all." Follow with bean dip. Or just up and leave the conversation, as I would, because it isn't open for discussion.
He needs to accept that it isn't, "Woe is me, I don't have a job," because he chose to be in his current situation. It was a conscious, informed decision on his part. He decided to flake on a guy knowing that it would blow his chances of working in an entire town. He can complain that he regrets the decision itself, or that he had to make it, but an adult shouldn't complain about a situation he chose to put himself into in favour of one he claims to really want.