Can my k9 service dog enter the store?

Yes

Yes. IAW laws

Yes. The ADA requires State and local government agencies, businesses, and non-profit organizations (covered entities) that provide goods or services to the public to make "reasonable modifications" in their policies, practices, or procedures when necessary to accommodate people with disabilities. The service animal rules fall under this general principle. Accordingly, entities that have a "no pets" policy generally must modify the policy to allow service animals into their facilities.