Very sorry for the late reply! It doesn't matter - at least in the demo - how many cases you accept. The cases pick up where you left them and it won't have much affect on the outcome unless you end the game without completing their storylines.
In the game design document for a potential full version, I've outlined swapping to a monthly calendar instead of weekly and adding a business management aspect to the game. Having one-on-one consultations would be one way to build up the business but there would be others as well, limiting the downside to not taking on all the clients.
We'd likely be looking at 10-15 clients in a full version!
Thank you so much for playing, I'm so glad you had a good time and enjoyed the MC. I would love to write a whole storyline for her!