well that's probably confusing.
but i reckon if he likes you but he's playing with your mind at the same time by making you wait and all that then message him if you like him and if he blows you off (even if he likes you) because he enjoys messing with a girls mind then fuck him off and move on, trust me.. his guilt will kick in one day when he sees you with another guy and he's going to be running back to you .
so in the short-term; yes, it may look like you're eager but so what?you like him, its not like you're just horny and want him.
and in the long-run; you're not going to have regrets because if you don't message him and hes actually shy and then you eventually fade away from each other you're going to be wondering what would've been and yeah
there's nothing wrong with looking eager.. as long as you think theres a chance of something magical happening
Good luck.
hope i helped