Hi there, you are through to Dr Linda.
This is a real concern.
Rabbits are 'prey creatures' in the wild so if we notice they are not themselves, this means they are very unwell indeed. This is because if they act unwell in the wild, the predators will target them.
A reduced appetite can lead to a dangerous and life threatening conditions called Gut Stasis, so we need to be very cautious here. Rabbits need to constantly eat. If they do not eat for 4 hours or more, this is a true emergency. Try to encourage eating with plenty of fresh hay and grass as well as tasty herbs like parsley.
Reduced appetite can have lots of causes including overgrown teeth, urinary infections, sources of pain etc.
With regards ***** ***** of balance, again this is highly abnormal. Potential causes can include an ear infection, parasitic infection known as E Cuniculi or an injury.
If she seems more unwell tonight, is not eating well or is deteriorating, she should be brought to an emergency vet, Otherwise, I would have her checked first thing tomorrow morning.