Hello,
I saw the screenshots you attached.
1) For the logo resolution it seems that you are using logo image that is too large that’s why its looking like this. You need to resize it to 100-150px in width and reupload to your header. This will fix the issue.
2) To set the logo for mobile you need to Go to WoodMart >> Header Builder >> Edit header >> Mobile icon on the right top.
Screenshot for Clarification: https://ibb.co/H29FhhX
3) To set the logo for the footer you need to Go to Appearance >> Widgets >> Edit footer column 1 and replace the image tag src with your desired file.
Screenshot for Clarification: https://ibb.co/WymMHLB
4) You are unable to translate the best sellers and other product tabs headings because they are coming from the text field. You can change the headings by editing the product tabs.
Screenshot for Clarification: https://ibb.co/PTwvjc7
Best Regards.