Thank you for reaching out to us, drkatja.
I'll be glad to share some insights with your QuickBooks account in Self-Employed.
At the moment, QuickBooks does not support multiple entities with separate P&L statements. If you want to open the two accounts at the same time. You'll need to use a different link to open it.
For future reference about Self Employed, here's an article for more information: QuickBooks Self-Employed Overview.
Please let me know if you have any more QuickBooks questions. I look forward to working with whenever you need help. Have a great day!