(1) A nursing home shall use the name that appears on the license for its premises. A nursing home shall not change its name without the approval of the department.

    (2) A nursing home shall not use the terms "hospital" or "sanitarium" or a term conveying a meaning that is substantially similar to those terms in the name of the nursing home. However, a nursing home may use the term "health center" or "health care center" or "rehabilitation center" or a term conveying a meaning substantially similar to those terms as long as those terms do not conflict with the terms prohibited by this subsection.

    (3) If a nursing home uses the term "rehabilitation center" in its name as allowed under subsection (2), the nursing home shall have the capacity to provide rehabilitation services that include, at a minimum, all of the following:

    (a) Physical therapy services.

    (b) Occupational therapy services.

    (c) Speech therapy services.

    (4) A nursing home shall not include in its name the name of a religious, fraternal, or charitable corporation, organization, or association unless the corporation, organization, or association is an owner of the nursing home.