Hello,
1) Quick View does not display default WooCommerce selectors for the variable products. If you want to show variations in the QV then change type to variation swatches (label, color or image type) instead of default selector. Then you’ll get variations in the QV https://prnt.sc/10ubtgd and buy product once choose the viariation.
2) You already added the cart and account element to the connection block as I can see https://prnt.sc/10ubucm That’s why you don’t have them in the footer. Remove them from the connection block and they will disappear from your header and appear in the footer again.
Regards