New guy too keen??

I started talking to a guy on match.com a few weeks ago and we met up for the first time last weekend. He's a nice guy and I enjoyed chatting with him and we agreed to meet up again. Almost immediately the texts started saying how much he had enjoyed it, how pretty I was and how he was looking forward to meeting again. I felt flattered. We agreed to meet during the week for dinner and again had a good time. Again, lots of texts and now he's started calling me every evening. Because I'm polite and know what it's like to be ignored, I've been replying and answering but I feel like he's getting too keen too fast. I was out with mates last night and he text me 5 times (which I ignored) and called me at 1am (which I ignored).

I suppose I can't decide if I should tell him to get lost as it's too much or am I just so used to being treated badly by previous partners that I can't handle a genuinely nice guy? I'm worried that if our relationship progressed then these are all warning signs of someone who could he very possessive. I'm meeting him again today and now I don't know how I feel about it!