No cover. The tears and stains of concern are as shown in the photos. From a layman's perspective, it seems fine for reading and enjoyment. Please also check my profile before purchasing. I have many other picture books for sale. I have done a simple check for writing or markings on the pages, but I have not checked every single page completely. Please forgive any minor oversights. As there are individual differences, please refrain from purchasing if you are sensitive. Please understand that this is a used item and purchase accordingly. For those who understand that this is a used item stored by a private individual, thank you for your understanding.