Sayali.
This year the entrances you're talking about CLAT and MHCET have been conducted already. So normally, in the final year you are eligible to take these entrances till the time you have your complete  result before finalising admission in any college. So for now you can appear in entrances in 2020.
Also CLAT is only an entrance for admission in 5 year integrated law courses which combine a UG degree with law ie BA+LLB. So as you've already done BA and now want to pursue law 3 year LLB is the suitable course for you. And 3 year LLB is not offered by CLAT.
MHCET is conducted for 3 year LLB. So you can go for these entrances which offer 3 year LLb course like DU LLB, LSAT etc along with MH CET.
Best of luck

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