Hi, Bitopan.

By your rank, your marks approximately will be between 55 to 68.

The minimum eligible marks that allows a student of your category to appear in the second round of counselling is 61 to 56

As you got more marks than that, you're certainly eligible for the counseling through which you can be able to get into government colleges but not in the first counselling, because the minimum marks for your category to join in the first counselling is between 90 to 99, so you'll mostly get through the second counselling.

Goodluck. 

Yes. You can join it