not sure why but the child theme did inherit parent styles and menu in my end. is it cache issue?
if you saved the theme options, cat or page color using child theme and resave the menu location etc, did any of the save optons work?
must some template in parent theme that you previous edits that were not sync with latest version.
try backups/moved your edited version of mesocolumn(dutch)
download latest version 1.6.1 (no edit)
and try the child theme settings theme option, cat,page color again.