Answer:

1. Select the item not appearing in the correct order.
2. Resort it using the sort functions in the Content Editor Ribbon.
3. Move the item up/down and then move it back to where you want it displayed.
4. Save and Publish the item(s).

You can also validate the sort order by checking the sort order number on the item in question from the properties. To verify the sort order you are seeing is what will display when Previewed and Published:

1. Select one of the lists.
2. Scroll down to the Sortorder field under the Appearances Section.
3. Check the sort order number. There is a number in the Sortorder field that gets dynamically generated. The lower the number, the higher the placement in the Sort order.
4. Change the number by using the sort functions in the Content Editor Ribbon.
5. Save and Publish the item(s).