MAT

Yes, the colleges will accept your application. You can prepare well for your 6th semester and MAT. You should apply for the colleges.
All the best.

You need composite score of more than 600 in MAT to apply in Christ.

Congratulations to you for scoring so well. Yes you are eligible, now coming to the foreign trip, there is no such procedure for foreign trip, and the time you take admission you are eligible for the trip organized by the college. Now coming to the last year intake in PGDM so can you please specify intake in the country or any specific institute. Good Luck.

You should not believe blindly on college rankings. I would suggest you to apply for:
1. Christ University – Bangalore.
2. Alliance University – Bangalore.
3. Balaji Institutes – Pune.
4. XIME – Bangalore.
5. XIMR – Mumbai.
6. ITM - Mumbai.
These are some of the best colleges, which accept MAT scores and where you will stand a chance for a GD/PI call.

IIMs do not accept MAT scores for their admission process. IIMs conduct CAT. CAT scores are used by IIMs for selecting students for PI and WAT .

You can try for Balaji Institutes – Pune, Christ University – Bangalore, Alliance University – Bangalore, PUMBA – Pune, ITM – Mumbai, BIMTECH – Noida, XIME - Bangalore and XIMR - Mumbai.

You can opt for Christ University or XIME - Bangalore.

You can try for XIME and you may get a call from them. You can also try for ITM – Mumbai, Christ University – Bangalore, Alliance University - Bangalore and Balaji Institutes - Pune.

You can try for Balaji Institutes – Pune, MIT – Pune, FLAME – Pune, ITM – Mumbai, Christ - Bangalore and Alliance University - Bangalore.

No, waiver of fee on the basis of percentile is not applicable. Yes, there may be some chances if you belong from reserved category (maybe).
Admission in IP will be made on the basis of rank obtained in CET i.e common entrance test.