Fortunately in your case yes you are eligible to apply for 5 year law integrated courses. There are entrances in all institutes/universities for this course.
You can apply for BALLB as BBALLB is not available in most of the colleges.

Recently the age criteria has been removed for CLAT. check here and other exams like BLAT, AILET.

But the other thing you will have to consider is the basic eligibility interms of percentage criteria.
You need minimum 45% in CLAT (general category) and 40% for reserved categories.
And the criteria varies for all 5 year law exams.

You can check the complete list of exams below:

5 year law exams

You can track the notification details in the link above!
The forms will be out nealy 1st Jan 2018.

For BBA LLB you can apply in IPU as there this course is provided.

Check its eligibility here.
All the best!