If you took your pill after you vomited, it would not have any connection.
Apri is a combination pill which means you have 24 hours to take your pill before it is considered missed. 1 hour on either end of your usual time makes no difference.
Cramping is a side effect of birth control and can happen at any point, regardless of where you are in your pack.
If you are having trouble trusting your pill, I would recommend using a secondary form of protection such as condoms to ease your anxiety and give yourself peace of mind.