WR, Your neighbor is partially right about everything but the dating. I don't think I'd even think about that until everything is resolved/settled and you've healed a bit. But, I do think that your profile has set your h a twitter and wants to know what you are doing and w/whom. Your sons have to learn to keep your whereabouts "mum", as it is no longer your h's business where you are...after all, do you know where your h is all of the time? The street is a two way street these days...so let's hope he won't questioned your sons again.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.