Congrats, bitch!

People would assume Luca would lock herself in after that night of revelation. After stressing over it the entire night, crying, complaining, and reminiscing about how beautiful the life she had thrown away was, she passed out. Luca only suffered a severe hangover the next day, but that changed nothing in her situation. 

Luca was still on a mission to impose whatever 'justice' the original Luca was seeking. But instead of focusing on that matter, Luca extended her vacation and got scolded by Jacques because of it. 

No. Luca didn't extend her vacation because she wanted to investigate the Kanes or this fourth precinct. She extended it to have fun, knowing she could be assassinated any day. She might as well enjoy life and do the things she missed doing in her original life.