For balance, my PT has me sit in a corner on
an exercise ball
. He sits in front of me to catch me, then I roll the ball
out, put my feet together, hands on knees and close my eyes. we also do a similar thing standing on a piece of foam. Just make sure someone is with you!! I can give you other exercises for leg weakness if you want them.
If you think you would benefit from PT, then I would push the neuro.