Yes, you will be eligible, provided you attend all the rounds of counselling in Bihar too. In order to be eligible for the subsequent rounds of counselling. you have to be present at the previous one, or else you will not be considered an eligible candidate. Lets say there are 3 rounds (3rd being the mop up), and even if you attend the 1st round and miss the 2nd, you will not be eligible for mop up round. Make sure not to miss any round.