Hello,
Seems problem with SKU is related to the new WC update. We need some time to fix it. I would suggest you to disable search by SKU and wait for the next theme update.
I have added custom CSS styles to show the top bar on the tablets but there is no place to show top bar on mobile in 1 line, only in 2 lines http://prntscr.com/f71zut if this ok for you I’ll add the new custom.
Regards