H.R.1511: To amend the Servicemembers Civil Relief Act to provide relief with respect to rent and mortgage payments for members of the reserve components who are called to active duty and to amend the Internal Revenue Code of 1986 to allow a refundable credit to lessors for payments foregone by reason of such relief.

Amends the Servicemembers Civil Relief Act to allow a military reservist who is ordered to active duty for a period of more than 90 days: (1) an exemption during the period of active duty from payment of rent on a primary residence occupied by such member or dependents; and (2) a deferral of mortgage payments on a principal residence.

Amends the Internal Revenue Code to allow lessors of military reservists granted an exemption from rent payments under this Act a refundable tax credit for the exempted lease amounts.