With a CUET score of 410 out of 650, you may have limited options for admission to BA LLB programs in Jammu. The primary institution offering this course is:

- University of Jammu (The Law School): Admission is based on CUET scores, but previous cutoffs suggest that higher scores are typically needed for government seats.

You should check the specific admission criteria and previous year's cutoffs for the BA LLB program at the University of Jammu to assess your chances. Additionally, consider applying to private law colleges in the region, as they may have different admission criteria.