Congratulations Ariana,
I also have a relatively new program. Attracting admissions was difficult at first. I had been a teacher at prestigious local schools, but I didn't look to bring any students with me from those programs, so essentially I had no track record. It sounds like your situation is better, at least on that front. The parents you already have are your best marketing tool.
The biggest issue I had, one with which I still struggle, is the percentage of children I have admitted who bite, kick, scratch, and hit frequently. At least 1/3rd of the children in my program could be described in this way. I had to alter my staffing ratio to 3:1 to maintain a quality program (I don't have children younger than 2 in my program, so quite a lot of staff). I did not budget for this situation when I set tuition rates.
I needed the students when I enrolled them (and I'm not sorry I did), but I could have made the situation better for myself with a trial period for new admits, I could have used that period to form realistic expectations about what it would take for a student to thrive in my program without an unreasonable burden on other children. At the end of your trial period, if I had concerns, I would have been able to check in with the parents to ensure that they would commit to any support I anticipated needing. I would have reminded everyone, even when I did not anticipate issues, about the requirements of my behavior management plan.
I could also have helped my business with wording in the contract that shifts responsibility for paying for things like specialists and shadows to the parent (I have those things now) and with super-strong communication about challenging behaviors from the very first time (even if it seems like the kind of thing children that age do).
I was confident that I could resolve the small problems at school. Most of the time I was correct. But parents deserve to know, and consistent messaging to the children on all fronts is essential to reducing these behaviors. Avoiding a situation in which you are financially responsible for all of the in-school intervention that might be needed is important for the success of your business.
Best of luck,
Jeanne