My relationship (about a year ago) was similar. Got into a relationship abit too fast for my own pace. Within 2 weeks. (but please remember different people different pace. Some people 2 weeks is just fine, some considered too slow, and some think is too fast).

But regardless of how fast/slow you got together, I believe that if you really really like her, it doesn't matter. Simple as that. If you really really like someone, you wouldn't be second guessing yourself, and you don't have to think of a reason like her. You will just naturally like her, and all the bad reasons in the world wouldn't stop you from liking her especially after a few dates.

My last relationship was like yours, got together within weeks, but everyday I would ask myself why do I not behave and treat her like how I used to in my previous relationship? Why do I not have the same urge as before to meet up with her everyday or every week, and text her constantly. In fact at times, I don't feel like seeing her and this was only the first 2 months. I feel like I am forcing myself to do things that is expected of what a bf would do, not because I want to do it willingly. Naturally, it ended six months later.

If you plan on continuing with her in the next few weeks. I'd suggest that you be honest with her. Tell her that you're still unsure about the relationship and you would like more time to get to know her before you commit. Sex? I'm old school, if you're not into her, then don't do it until you've found your reason to to commit, unless she doesn't mind that you may not continue with the relationship later on after sex.

No wrong or right here pal. Just decisions you have to make yourself.