Agree. with JP. Also with H, all you can do is say very calmly, if he brings it up again, "I am not seeing anyone. I am not interested in anyone at this time. " He most likely still won't believe you, but give him some time to process and don't let him doubt your veracity by fibbing about anything!!
Also, a friend of mine made a comment on FB and said when are we getting together? H took that as someone I may have dated. I explained that this friend was engaged etc. and that since I had already told him a couple days previous in a convo that I was not ready yet and had not dated anyone, I would not lie to him. But boy, he was digging without actually coming out and saying. (and he got real quiet for a bit lol)