No, 1095-B is not entered into Form 8962. Send your 1095-B to the IRS along with a letter explaining that you did not receive a 1095-A or premium tax credit that year and that Form 8962 was not required. Indicate in the letter the months that you had coverage as shown on your 1095-B. Also, include a copy of the IRS letter they sent you when you respond. Keep copies of all for your records.
