Error: call_user_func_array() expects parameter 1 to be a valid callback

Somewhere in your theme or plugins is a line like this:

add_filter( 'something', 'regis_options' );

Could also be add_action(). Find that piece of code and remove or fix it.

The other errors are a result of the first one. The printed error message causes output and hence HTTP headers, so PHP/WP cannot send other headers anymore. They will go away when you fix the first error.