In many places, yes. The parents are responsible for a minor and their actions.
uh yes, unless the medication is something crazy or the parent is crazy
It is not clear how a minor could be the creditor. While a minor can be prescribed medication or drugs for a particular condition - the minor is legally incapable of forming a legal contract. If the minor's parent/guardian refuses to pay for the medication, the pharmacy has the lawful right to cease dispensing it.
That's not a crime.
It depends on what the parent did. If the parent abused the child during the punishment, then yes, they can be arrested.
no.
The parent would be charged with kidnapping.
You can call them at the appropriate time and remind them yourself. If this is not convenient, there are some community service organizations that provide this type of service, although they are rare. There are other reminder services including Medication Reminders listed in the links below which offer subscription services for the parent to enroll.
No, only the custodial parent can do that.
The parent who isn't in jail.
No, but it isn't being a responsible parent when a child has a problem.
No, the medication given to a minor is the responsibility of the parent and any qualified medical practitioner that the parent may consult and nobody else unless a court of law has intervened.
No, a mentally incompetent adult cannot be charged with parent elder abuse, but, they must see a doctor; tested for their mental incompetence and absolved of looking after their elderly parent.