They only except service animals
I have seen a toy size service dog there before. Best to call.
I'm not sure... it's an upscale hotel catering to businesses. Personally if I was there on biz as guest I would not want a dog in the next room or to have been in my room the nite before. Not sure how welcome a pet would be... but hey just call them.
Get an answer from Renaissance Charlotte SouthPark Hotel staff and past guests.