On a social network site but not a dating site, if a guy suddenly messages you, asks how you are doing and keeps messaging asking how your day is, etc. do you think he is interested in you romantically? I'm not so great at interpreting these things.
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Continue talking to him, but do not hold any expectations. You may get a good and caring friend, or you may get a boyfriend as a bonus. :)
If it goes on for a sustained period of a few weeks/a month, then you may try flirting with him a little. If comes to that and you're feeling a bit brave you can try asking him out for lunch and see what's his response!1