Importing .mov files to iMovie

Hello,
I just got my Mac, and I have realized that I can not import my old .mts footage to iMovie. I have tryied converting it to .m4v with ReWrap2m4v, and than open it in MPEG stramclip, export to quick time player. After this, if I open my resulting .mov movie, audio is fine, but picture is like slow-moted, and very poor quality.

I am playing with this for three days, but nothing worked. Could anyone help me please what to do?