White Fossil Ceramic Women’s Watch

This is a lightweight, ceramic Fossil watch in white. It was working last time I used it but battery is dead. BEAUTIFUL on and very elegant! The face has NO scratches but between the band the pieces need to be cleaned and usual wear/scratches on the metal at clasp. I have not worn it in a long time and it has been in a drawer so it needs a new battery and cleaning. There is a black mark on the inside of the band, I am not sure what it is but not noticeable when wearing. Please see pictures. (The updated pictures show I was able to remove most of this, but I am not a professional cleaner). Can have pieces of band removed to make the band smaller.