The police are applying for arrest warrants for 30 men and women in Bang Na district.
Officers said the long-haired Prasertsak Singsopa, 30, who was shown on CCTV, and Peerapol Poungburi, 19.
Their accomplice, Jaturong Eiumtuam, 30, turned himself on Tuesday night.
The shooting at around 5pm on Monday, when accompanied by a 15-year-old male, collided on his motorcycle with 12 motorcycles.
The two teens were chased and cornered by the rival group. Peerapol pulled out a gun and a rival group, who hid in a nearby apartment.
Jaturong rode at the motorcycle for Prasertsak to shoot at apartment, breaking windows.
The maid, Pathum Sriprasert, 39, who sustained minor cuts, said five youths, carrying knives, ran into the building.
“I was in shock,” she said.