Here is css for your adjustments:
.yith-wcwl-add-to-wishlist {
border-left-color: #fff;
}
.woocommerce .out-of-stock-badge {
display: none;
}
The cart issue has to be something to do with your setup – could be htaccess or something like that. You will need to ask your host. If you check with the default WordPress theme you will likely have the same issue.
– Ed