The area in western Anbar was one of the first captured by the Islamic State in 2014.
The execution comes as Iraqi forces intensify their offensive against Daesh fighters to liberate Mosul.
The human rights group Amnesty International has said the paramilitary formations must be held to account.
Attack comes two days after dozens were killed in twin suicide bombings in Shia areas of Baghdad.
The UN said an unprecedented number of refugees had fled Mosul since October 2016.
Walid Shekhi, 40, opened the restaurant in Kobani, which was liberated by Isis in January 2015.
Unanswered questions surround the circumstances of the soldier's death.
It reports that the soldier died in a 'non-combat-related incident'.
He was convicted 40 years ago of using diplomatic status to smuggle arms to Palestinian militants.
A series of explosions has hit the Iraqi capital in the past three days.
No group has yet claimed responsibility for the attack.
54 others have also been injured in the attack at a busy market in central Al Sinak neighbourhood.
Islamic State has carried out successful attacks across the world despite the Mosul campaign.
Thousands rushed to fight jihadis in Mosul, but their friends and families are expected not to mourn.
Men arrived in three pickup trucks and raided her home on Monday, 26 December.
Stephen Townsend said assisting Iraq army without causing them insult is their biggest challenge.
American general tells Reuters that a new offensive is being planned against the jihadi-held city.
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The delivery of aid is irregular, and dependent on security conditions.
Shia and Sunni Imams from the UK, US and Malaysia visited areas previously held by the Islamic State.