I want a "remove" button next to the added coupons in case someone wants to remove it and try another one.
I was not able to recreate your issue. 'Remove' button was available next to the applied coupon.
The version of coupon code, I'm using is 7.x-2.0-rc2.
The steps I took were:
- Added a discount and associated a coupon code with it.
- Added an item to cart and checked out.
- After confirming checkout was given option to add coupon code.
The problem could be with checkout page. You can use
order_coupon_listview block below the coupon code apply form.