The bombings were followed by a gunfight at police headquarters in southern Kandahar province.
In an exclusive interview with TRT World, President Ashraf Ghani said Afghanistan can only secure long-lasting peace with a democratic system.
The attack in Badghis province, started around 08:10 GMT when a group of men, some wearing suicide vests, entered the hotel. Two out of the three attackers have been killed, the interior ministry said.
Officials say a boy set off his explosives inside the house of a pro-Kabul militia commander in Nangarhar province, wounding 40.
Qatar Emir Sheikh Tamim al Thani meets with US President Donald Trump in Washington after his country enters the third year of a blockade by Gulf neighbours Saudi Arabia, the UAE and Bahrain.
The encounter ended with a joint statement containing an "appeal and promise to reduce violence in Afghanistan", according to Markus Potzel, Germany's Afghanistan envoy who co-hosted the talks with Qatar.
Taliban officials meet a group of Afghan delegates in Doha as part of diplomatic efforts to end years of violence and build trust between Afghan civilians and the insurgent group.
Sunday's suicide car bomb attack hit the eastern city of Ghazni and targeted an intelligence unit, Ghazni provincial governor spokesman Aref Noori told AFP.
US and Taliban officials will reconvene on Tuesday to continue peace talks described as the "most productive session" by the top US negotiator Zalmay Khalilzad leading the discussions to end the Afghan war.
Media is increasingly becoming a target in Afghanistan as the Taliban's campaign for hearts and minds falls short.
In an interview on Fox News broadcast, the US president said the problem with pulling the 9,000 U.S. troops from Afghanistan, the site of America's longest war, is that the country is a "lab for terrorists."
At least 105 people, including 51 children, wounded in Taliban-claimed car bomb attack outside a Defense Ministry building.
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