The attacks come as Iraq faces its greatest challenge since the 2011 withdraw of US troops, as militants from the Islamic State group now hold vast swaths of the country and neighboring Syria.
Police officials said the first bombing happened tonight when a suicide bomber rammed his explosive-laden car into a security checkpoint in Baghdad's northern district of Khazimiyah, killing 13 people, including three police officers, and wounding 28.
The blast damaged several shops and cars. Hospital officials confirmed the casualty figures for the attacks.
All officials spoke on condition of anonymity because they were not authorized to brief journalists.
Nobody claimed responsibility for the attacks, yet Sunni insurgents frequently target Shiite population they deem as being heretics.
That includes the Islamic State group, which now holds a third of the country in its sway.
Meanwhile today, the governor of Iraq's Salahuddin province said Islamic State group militants killed Raad al-Azzawi, who was a cameraman for Iraq's Salahuddin Television.
The Islamic State group has beheaded a number of journalists in Syria, saying the killings are in retaliation to US-led coalition airstrikes in Iraq and Syria.
Reporters Without Borders said last month that the militants had threatened to kill al-Azzawi, a father of three, for refusing to join the Sunni militant group.
The media watchdog said al-Azzawi was abducted on September 7.
