Dinner on Thursday sounds great, but I agree that it'd be nice if H would initiate a bit more contact and pursue you a little. He sounds really stressed with work though, and so many men tie their self-esteem up into their work. I agree that for now you need to be a good friend to him and be there.
IMHO that might mean you needing to make contact and help him through without offering any solutions. Maybe a non-committal e-mail with a joke in it or something every now and again to remind him you exist and ditract him from work but with no pressure? I know it's more work for you in the sense of putting more effort into the R right now, but I think that if you're there for him now he'll step up once the problems are sorted out.....
I love talking to people from the future! I've missed you!!