From the picture. When you select write a review or report listing you have to be logged in. It redirects you to login or create an account. Also when you want to reply a listing but when you select buy now which I changed to hire now it redirects to shop page for users that are not logged in. See picture
Please disable third-party plugins and customizations (if there are any) and check if this issue persists. If you use a caching plugin, ensure that caching is disabled for logged-in users.
Also, please refresh the permalink structure in Settings/Permalinks (choose any structure with %postname% if the default one is selected) and check if this issue persists.
If there were no customizations regarding this, there should be a redirect to Checkout instead of Cart. Please try to click Create Pages in WooCommerce/Status/Tools, also re-save the listing in case if there’s something wrong with the linked listing product.