Search Results: avoiding me after sex

We're in relationship after 5 times dating.
Kissed and after sometimes we're in bed (no sex).
We're on long distance relationship
Early on, she's very sweet and we had passion for each other. We could talk for hours, and planning on when to see each other again. We could talk anything, and feel connected.

Our parents are friends. They're happy to see us together.

After 5 months, she lost interest, and said she's not
ready for relationship, because she broke up not long ago after we're together, and ask me to find another. but we never declare breakup. Also she mentioned that we're moving too fast.

She stated "most probably will take me as an older brother for her"

We met 3 times in 3 months, after that she's gradually distant from me.
Short talk on phone & skype.
Seems to avoid me. either she's busy or watching movies, or going to sleep.
Feels like there's no respect for me and no more time spend on me.

She doesn't want to talk about us that much.
Now is already 2 months and I wonder how long this could go on.. no real communication.
Now and then, I just call her at night and ask about how her days. nothing major, only few minutes.

I might be too possessive and insensitive sometimes, but I told her if that's the problem, I could make changes. and she said nothing.. then I slowed down on call or text.

Planning to see her in few days time. try to surprise her, and talk in person about what's gone wrong and what can we fix..
I'm confused with this situation.
I'm just guessing that the main problem is lack of intimacy.

I'm sure she's not the kind that could take me as a rebound.
and I believe that she won't see another guy
because we've talked and I strongly believe that she's not the kind that could go out with anyone and play around.

Something is missing here. I need to straight it up.
Just need some opinion here.. would like to hear from you people..

It's a 8 hour flight away, is it worth it to go?

Thanks! =]