What can cause your emerg brake light and battery light too come on and stay on?

Check for: -

Not entirely sure, but just check that your brake master cylinder reservoir has the right level of fluid.(under bonnet, in front of steering wheel side). Possibly a strange way Kia has linked warning lights.

not quite the battery light and brake light will only come on in these cars if the alternator belt broke off, the alternator is dead or if you have a wire crroded and a bad connection because the alternator light makes it come on but your brake light coming on by itsekf will not trigger your batterty light