Is it obligatory to purify an entire carpet before sitting on it if the impurity has no color or trace, and is it forbidden to keep ritually impure clothes in the closet without using them, preventing angels from entering, especially considering obsessive-compulsive disorder and remembering not paying attention to ritual impurity in childhood?

It is advisable to get rid of obsessive thoughts due to their harm. It is not necessary to purify furnishings or clothes unless you are certain of impurity, and the default is that purity remains. Impurity does not transfer from a dry carpet unless one of the two surfaces in contact is wet, and the person suffering from obsessive thoughts may adopt the view that it does not transfer. Keeping impure clothes in the room is permissible and does not prevent angels from entering, and they must be purified when one intends to pray in them.