Regarding her sleep pattern, you have not mentioned that if she sleeps late, how she behaves. Is she uncomfortable or has any other complaints. Is she sleeping more during the day and that is why she sleeps late at night. If she is otherwise fine, comfortable and playful, I don't think you should allow this to affect you much. Some times mild sedation may be used on intermittent basis to regulate sleep cycle, but personally I would not prefer this. Hopefully, with time it would settle down.
Regarding passing stools after having meals may be normal in many babies, which is called Gastrocolic reflux. Which means as soon as baby eats food it stimulates intestinal peristalsis (motility) and she passes stools. It is nothing to get worried about.