The question that I always wanted to ask was, after first date who does the onus lie on - re. calling/emailing stating it was a good date?

Ok, we meet online and go on a first date after exchanging a few emails and phone calls. He is not looking for a relationship at this point - but wants to go with the flow. It seemed like a good and simple date. Holding hands was the farthest we went.
In general, I write to say I had great time. However, I read "he is just not that into you" and it said that if he is into you he will make an effort to contact you. It didnt talk about after first date.

Sometimes, towards end of the date men have said-hope to see you or something to hint second date. This time it was sort of subtle. He sells a certain item and he told me he will get me one of those.
I know he went online (dating site)today as I can see the last time he logged.
Well, as per my habit I sent a quickie that I had a great time.
Maybe a mistake.