seeing shows you've entered?

is there a way of seeing which shows have yet to run for a particular horse? now that shows aren't all running at the same time, i'm having a hard time keeping up with which horses have unrun shows left, and which are finished.

The only way to see if your horses has unrun shows at the moment is to go to the shows page and search for shows for that particular horse, any shows you've entered will show up as "Entered!" instead of with an "Enter" Button.
However the shows you've already entered that just haven't run don't affect your current shows, you can enter your horse in up to 10 shows each day regardless of if it has any leftover from the day before that have yet to run.
Let me know if you have more questions or need clarification about anything!