Yes, you are eligible to apply for CAT but if you got selected into top B schools then there are possibility that they may question you in the interview about the gap so be prepared yourself for this. Your CAT score & your overall profile matters at the initial stage & post which how to perform in the interview is all that matters. As per your academic score the chances are less to get a call from old IIMs but you can try for other top B School if you clear CAT with excellent score. You can go through with given below link for top BSchool.

Top B School

To study in Abroad it depends which country or University you want to go because each university has different criteria for the admission.For the reference of universities you can also go through with given below link.

Top destination for MBA study in abroad

Good Luck!