Let's put things into perspective. You do not know this man, he does not know you. It is odd for someone you do not know to reach out to you daily and ask those sort of questions (at least from how you presented them). My close friends don't even ask those questions unless it is related to them in some sort of way, ie we are meeting up later on and they want to know my location.
No matter who attentive a man or anyone is you should have your eyes and ears open at all times. The laid back ones can be just as harmful as the overly attentive. Really what it comes down to is getting to genuinely know the person. Once you know the man you may be able to understand and appreciate his attention, even if its just from a a friendly position. What came to my mind from reading your post is that this man may have great intentions! In fact the men I meet that act in this manner are usually very relationship oriented and looking to make a woman happy for the rest of her life through marriage, which is great if the woman wants that. However, it seems like he may be acting way out of order. There is a time for everything and if he is that interested in you already and doesn't know you then he may begin to idolize/think about you in a way that isn't healthy or productive for the relationship or his spirit.
I say be wise and don't be afraid or feel bad for following your own pace!