As suggested by @Rachel I separated the two needs and opened another draft icebox for “adding customer name on order line”: Enable to identify customer on orders view
On enable quick capture of payments for a batch of orders, I moved that wishlist to icebox draft as we are discussing feature candidates already so doing some inception. I also made it a wiki so others can add other possible solutions. I will clean the first post as well so that it only talks of that need as we separated both issues, and added your option 3 solution @Rachel.