Do you think he likes me? If so, how do I flirt back?

He likes you and he is being direct with you. Ask him to take you for a walk or ask him to walk you home etc. etc. Hold his hand while your walking with him. Let him know your shy. You might ask him if he wants to kiss you. I should lead on from there. Don't have though, it can bring the relationship to an end fast. Kissing is ok.