The fire, which was 5% contained, was being fuelled by dry brush covering steep terrain and stoked by erratic wind gusts during the night.
During the shootout, the suspect was wounded in the arm, Mayor Eric Garcetti said, adding that one woman was shot in the store and later declared dead at the scene.
Plates, teaspoons, mugs and anything with pictures of Prince Harry and Meghan Markle are flying off the shelves in Los Angeles as the city's own California girl prepares to marry into Britain's royal family.
Police in California arrested a man after reports of shootings at two schools near Los Angeles on Friday, the local sheriff's department and education officials said.
A man accused of stealing Frances McDormand's best actress Oscar from an official after-party has been arrested, Los Angeles police said on Monday.
The girl, whose name was not released, was booked at a juvenile detention facility on a charge of negligent discharge of a firearm, said Officer Tony Im of the Los Angeles Police Department.
Heavy rains on Tuesday sent rivers of waist-high mud and debris flowing from the hills into Montecito and other towns in Santa Barbara County northwest of Los Angeles, which are still recovering from last month's wildfires.
A firefighter was killed on Thursday while battling a mammoth California wildfire as crews sought to protect coastal cities and towns in the path of flames that have destroyed more than 700 homes.
A fierce wildfire raged on north of Los Angeles on Sunday, threatening other towns after already charring vast swaths of land, but other blazes were largely contained after burning for days.
"The upcoming office would further enhance the foundations of common understanding to face the challenges facing the region," Staff Lieutenant Colonel Nawaf bin Mubarak bin Saif al-Thani said.