It is permissible to buy and sell hunting dogs. It is not permissible to purchase other kinds of dogs. However, one can pay money in exchange of the owner letting go of his right over the dog.
The mentioned act is allowed but it is not allowed to have it if it prevents water from reaching the skin during ablution - Wudhu - and ritual ablution - Ghusl.
It is also not allowed to put on pictures that propagate prohibited acts or enjoin evil.
