Hi pavle.nikitovic,
Thanks for reaching to us and appreciate your patience.
1, 4. + In order to change / translate words. Please make sure you synced the strings first before changing / translating WooCommerce, WoodMart Core plugins and WoodMart theme. You can refer to article
https://xtemos.com/docs-topic/theme-translation/
https://xtemos.com/docs-topic/how-to-make-woodmart-multilingual-with-wpml/
+ You are also need to select the language for the backend and theme settings for admin from the admin user profile, please edit the user’s profile and then select the language for that user it will show the same on the backend.
+ Some strings related to Wishlist / Compare / Login & Register page, you can change in Theme Settings > Shop or Theme Settings > My account https://prnt.sc/W8Tt95stG3YC
2. It seems you turned it off by yourself.
3. Navigate to WoodMart > Header builder > edit default header (highlighted star icon) or you can go through the admin bar directly https://prnt.sc/Ct9ehRDvvDV9. Switch to mobile Header > Hover on the Logo element, click on the Pencil icon to edit it https://prnt.sc/TQpL8DqtyVSi to change the Logo.
Please refer to this article https://xtemos.com/docs-topic/woodmart-header-builder/
Regards,