Honoring our Heroes Act This bill permits, where there is no living immediate next of kin of a deceased member of the Armed Forces, a covered relative to request the one-time free replacement of certain military decorations of such deceased member. "Covered relative" means a relative of a deceased recipient of a military decoration who is: (1) not the immediate next of kin; and (2) related within the fourth degree of consanguinity to the deceased recipient, or a more distant relative if determined appropriate.