Ryan,
This is a very good looking tree.
I have been messing with Chickasaw plums for a number of years and have found them to be very hard to grow in shallow containers. The pot you have selected is about as shallow as I would go and is not a bad choice.
Enjoy the flowers, they do not last very long. However, as Jay said, remove any fruit that starts to develop as quickly as possible. The tree is stressed at this point and you do not want lose it.
The major draw back to this species is they are borer magnets. Stressed trees seem to attract them like flies to horse manure. So, keep a close eye out for them. They will destroy a tree in a very short time if you don't watch for them. The borers start to show up around the end of March and last all through the summer in my little corner of the state.
Good luck,
Paul