Hi C.!
My son is only 17 months. And I don't even want to imagine going through what you're going through yet! I remember being that age, it was only about 10-12 years ago!
This is just my opinion, but I would think that taking away the things she loves would only make her madder. And what happens when she does something really wrong, like sneaking out in the middle of the night, and you have to ground her. She going to equate grounding to chores when that was something more serious. I think the punishment has to fit the crime.
Maybe there's something more going on in her life? I know I felt like doing nothing when I was fighting with a friend, or totally crushing over some boy. I really started talking to my mom about important things at this age. Maybe you can use this as a way to start the communication lines. If my mom kept taking things away and grounding me, it would make me think she doesn't understand me and would hinder me from going to her in the future.
Have you tried positive reinforcement? Maybe a little incentive will get her going. I was one of five. So one on one time with my mom was precious. I still enjoy having her to myself sometimes and I'm 25!! If my mom told me we could go grab lunch or run some errand together after I took out the trash, cleaned up the dishes, and watered the flowers, I'd do it in a heartbeat.
A family sit down might make her feel singled out or ganged up on. And trying to make her understand how important chores are for the family won't work if she's not ready to think about anything other than herself. Teens around this age get a lil selfish and think the world revolves around them. But they always got a lot on their mind. Just be patient, open, and attentive. A good listener may be just what she needs.
Good luck C.!