Do I have chances of getting in MMS cap rounds with this: CET- 96.93, state rank- 1491, Mumbai Home University rank- 883 (open category)?

Your score is good. I cannot predict cutoffs for this year, however, your chances seems good.

Based on your CET score of 96.93 percentile, you have a decent chance of getting admission to some of the well-known management institutes in Maharashtra. However, the final admission depends on various factors such as the number of seats available, the total number of applicants, and the institutes