Treasury have released updated fact sheets regarding eligibility and the payment of the job keeper payment. Some issues have been clarified around the claiming of the job keeper payment by self-employed. Where family members operate a business through a company, trust or partnership, only one person can be nominated as the eligible employee for job keeper payment. Similarly, a self-employed person cannot be eligible for job keeper payment is they have a permanent job elsewhere (they can be eligible as an employee of the other business).
More details are available in the fact sheet for employers , fact sheet for employees , and frequently asked questions.