CFP

For gaining admission to an MBA program, it will not be of much use. But this will be an added advantage for your CV, if you do MBA in finance.

CFP is about financial planning from the investments point of view, and CFA is about financial analysis, it is a kind of managerial activity.

It depends on the college. Some colleges accept CAT score and others MAT or XAT score.

As you have done BFM and CFP, you should pursue MBA in finance, and further expand your knowledge in finance.

My advice to you would be to wait until you pass the current course. You should focus on gaining a good score in this course. After that, you may opt for CFP. But before pursuing CFP, please make sure you have the art of selling and convincing because a lot of sales and marketing skills are required in order to complete CFP.