1) You’ll be able to update theme using auto-update option (WP Dashboard > Updates) but you made a lot of customization in the child theme files, so always do the update at the staging site first before production site update, also do the backup of the files and DB before the updates.
2) You can remove studioluc-old if you don’t need it.
3) We built header using header builder (Theme Options > Header builder) and forgot to change my account text in the account element settings. Check now. If you found any other texts use Loco translate and translation files of theme and XStore core plugin to translate them.
4) It was related to color scheme for the product hover and your custom. We changed it to transparent http://prntscr.com/rrd1it instead of dark and improved your custom.
5) Check if issues are not related to your custom CSS first.
You can use Lightshot screenshot free tool if you need to share links to your screenshots.
