I agree with others. Let him reach out to you. If he is interested, you will hear from him shortly. If not, you won't-- and you contacting him won't change that.

It definitely goes against custom for him not to at least offer to pay on the first date. Honestly, if a guy says "hey, let's split it" on a first date I would think he is either cheap, rude, or uninterested. I date women so I realize I'm in a different position, but I always offer to pay on the first date. Usually, she offers also-- and whoever insists more usually ends up paying. And we typically take turns paying if there are more dates in the future. It's not about the money so much as the request-- I would be a little offended if someone asked me to split the bill on a first date. But if it didn't bother you, I suppose it's fine.