SMEAT

The expected CAT cutoff of NIT Calicut is above 70 percentile. Hence your chances for admission here are very less.

Your expected JEE Main AIR is about 106081. The last year's closing rank in BIT Mesra under general HS quota was 115173 in Bio Technology, 87418 in Chemical Engineering (Plastic and Polymer) and 65269 in production engineering. Hence, you have chances here.

Last year's closing ranks and percentile of IIIT Hyderabad are given below:
1. B.Tech CSE closing rank : 1187 (99.9084225 percentile)
2. B.Tech ECE closing rank : 2845 (99.7681949 percentile)
The last year closing ranks of NIT Warangal for general category (Women) are as under for home state quota.
1. B.Tech CSE closing rank : 4632
2. B.Tech EEE closing rank : 11835
3. B.Tech ECE closing rank : 8838
4. B.Tech Mechanical closing rank : 18474
So keeping the previous years of trends in consideration your rank should be below 3000 for IIIT Hyderabad and 20000 for NIT Warangal.

No, you shouldnt have to register for 2 and round.