I know DM and the son lived with his mother,as Misty lived with her mother. Since it's assumption Lyric was playing her grandmother against her Dad, she was upset enough to pack a bag and was going to the door. That's a little more than playing, since it was important for WC to even mention this to a reporter, it was obviously upsetting to this grandma. I don't know if the girls were paid, but DM didn't have a job and an older son living there. The girls didn't live there, so I hope they were paid.
Since Lyric didn't live there, it seems a bit odd to call it chores. I wouldn't allow my children to do chores at someone else's house, especially if they looked as fit and healthy as Lyric's grandmother. If they were paid, even a small amount, I would encourage it as it builds the work ethic. If the children weren't paid to clean the house occupied by the grandmother, father and stepbrother, I can understand that Lyric would be upset.