Colleges in Kerala

The CET marks above 105 out of 150 are very good enough for getting B.A. LLB in ILS Law College Pune if belongs to general category. The basic eligibility criteria of MAH LLB (5 years) is applicable for all colleges. The basic eligibility criteria is given below.
Eligibility : 10+2 with minimum 45% of aggregate marks

Jaipuria Institute of management would be far better option. They are among the top b-schools of India. Check NIRF rankings by Ministry of Human Resource Development.
2020 rankings: https://www.nirfindia.org/2020/ManagementRanking.html
2019 rankings: https://www.nirfindia.org/2019/ManagementRanking.htmlThe standard of education is high because the faculty members are highly qualified and extremely helpful. Good companies like Amazon, HUL, etc. Come for placements. So, Overall, Jaipuria is far better.

As per the current year of closing cutoff ranks, The chances of getting Chemical and Production at NIT Calicut are very less in asked category under HS quota.

It is possible. There are several universities that offer B.Tech through correspondence. Go ahead. It is possible. Wish you luck in your future endeavors.