Joseph….
The fact that a computer schedules the judges doesn’t negate the fact that judges can and do reject cases. It happens all the time.
I do occasionally appear in Federal Court in New York as it is the same District as CT and I am admitted. Last year I got a note from an old classmate who sits on the Federal Bench that he saw my name as counsel in a trial assigned to him, he had his clerk send it back for reassignment. No big deal.