Are these eye exams bad: right cylinder -0.75, axis 003. left cylinder -0.50, left axis 142. is this sign of neurological disease or something serious?

Mild astigmatism : No this is not something neurological and is only a mild refractive error--you may not even need glasses or may only need them for certain things like driving at night.

No: These numbers represent very mild astigmatism. This is quite common and can be easily corrected with glasses or contact lenses. You should not have any worry.