Hi there!
Please take my sincere apology for your experience.
Your search menu item link issue has been solved and I have replied to your other post about it.
You can upload mobile logo in the basic settings of the Template options though.
However, you can get bigger mobile logo by specifying the column grid space for mobile layout. Here are screenshots for your convenience:
https://prnt.sc/kKPA3jOFQ7mg
https://prnt.sc/yRoPXc4dzgZx
https://prnt.sc/WHfLOpNleRV3
I have changed them and it's looking better now I think. Please check and let me know. I have fixed it for your default template style: https://prnt.sc/lbGhPyOzd1TM
You can apply the same for other template styles as well(for example template style of english language).
Best Regards