#2
No, floyds are generally wider.
Fender Highway 1 Strat
Agile Septor Pro 725

Fender Hot Rod Deluxe
Axe-Fx Ultra

Trust me, I'm a medical student
#4
Have you checked out the Trem King? It's supposedly a direct drop in but requires a bit of routing to get the full features. You should definitely check it out.