I would be a bit weary of believing the size due to a scan, they are quite off sometimes.

With regard to a Csection, being a public patient, you generally don't get to "elect" to have one, but the Dr can suggest that you have one (You do have a right to refuse depending on the situation)

Induction - You can refuse tho.

You have more rights to refuse, then to ask to get it done IMO.