By this point in the series, Sergeant Carter was in a serious relationship with Bunny; however, he pursues Lou-Ann as if he's not already spoken for.
In this episode, Lou-Ann moves back to Los Angeles to resume her singing career after moving back to her hometown two months earlier; however, she's seen living in the same apartment she rented before she returned home (albeit repainted and redecorated). It's highly unlikely that the apartment would've still been available after two months.