Hello,
01. Navigate to WoodMart > Header builder > edit default header (highlighted star icon) or you can go through the admin bar directly https://prnt.sc/Ct9ehRDvvDV9. Configure cart settings and choose the cart icon design.
02. You can create an empty header or put only a logo image there and specify it for the checkout page only. Footer can be disabled either with Theme Settings Preset or for the checkout page via Dashboard -> Pages.
Best Regards