Do enchantments of Crew carry over to Vehicles?
No to both. Crewing a creature doesn't cause he vehicle to be related to the creatures that crew it in any way unless the creatures have an ability that triggers when they crew a vehicle. Crew means nothing more than what the ability says; that you tap creatures  to make the vehicle into an artifact creature until end of turn. 

From the gatherer rulings on Smuggler&#39;s Copter:


  Creatures that crew a Vehicle aren’t attached to it or related in any other way. Effects that affect the Vehicle, such as by destroying it or giving it a +1/+1 counter, don’t affect the creatures that crewed it and vice versa.


Also note that "enchantments such as a +1/+1 counter" makes no sense. A counter is a completely different thing from an enchantment. If you meant an aura enchantment that gives the creature +1/+1, this is unrelated to a +1/+1 counter.