Advice for my relationship - met someone "in love" with me

Background: Last week I went to someone's gathering at their home last minute and got pretty drunk, in fact we all did. One guy at this gathering ended up telling me he had liked me for years but had never had the guts to tell me about it. The truth is I have known him for years at school and college but we had never really spoken, only exchanged hello's and the occasional joke or small conversation. I was surprised but everyone at the gathering had known about his "love" for me and asked me for my opinion. Obviously I was baffled but just went with it and we chatted and in my drunken state I lay with my head on his lap whilst we slurred in a serious manner about topics with a large amount of alcoholic enthusiasm. The next day he texts me as he had asked for my number the night before and we talk all day about random things and he asks me for coffee. The next day we meet for coffee and do a general "getting to know you" session. He was really sweet and bought my drink and held my jacket. He kept texting me after saying he couldn't get me out of his head and that he wanted to meet again the next day before he went on a 2 week holiday. We met up, had a cider in the sun, continued the chat of finding out about each other then kissed. Question/detail: I like him, a lot, because he seems to accept me for who I am instead of me trying to impress a guy. He tells me I'm beautiful, wants to take things at my pace and as he messages me from abroad "just wants to hold me in his arms". Firstly, I am very comfortable around him, I've known him for a while and he is definitely lovely however today we skyped and it was rather awkward. He kept saying how much he missed me but we didn't really have much to talk about. Like the conversations had run dry because we know quite a lot about each other now. As far as I know this shouldn't happen a week into "seeing each other" but it has and it is ringing bells for me. I have more or less two weeks without him and we have run out of things to talk about. I mean it all seemed to be factual before and I worry that he is so attached so soon, and wants to talk every day, that everything sort of fizzles out before it has begun. The whole relationship (can I call it that?) has the potential to be something serious but I feel as if this time apart will ruin everything because we have nothing to say to each other any more. What do you think I should do and what are your opinions?

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