Hi there. Thank you for posting your question with Healthcaremagic. I will do my best to help you.
I think that the blood that you saw post vomiting
and later on in your stool are coincidental happenings and not connected.
Having said that you are still left with trying to find a diagnosis for each show of blood. After vomiting you can see blood due to Mallory Wright Syndrome
or as you correctly say -- rupture of vomit. But why did you vomit in the first place?
In your neither regions you may have some hemorrhoids or perhaps a fissure. If any of these things persist you had better see a doctor. Good luck!
I hope that I have answered your questions fully and been of some help. If you have anymore questions please contact me again anytime.
Dr Andrew Rynne.