Hello,
1) I edited Theme Options and readded the texts you have in the header and they work for the default language. After that, I added the mentioned admin strings to the string translator https://prnt.sc/JRLg7tszGfIk
2) I don’t see issues with the Empty cart content https://prnt.sc/cWXEA6_wydFW
So, translate that and then add it to string translator https://prnt.sc/JRLg7tszGfIk
Regards