Azure AD and on premise - authentication

Hi @all,
I couldn't find a clear answer for 2 questions:

After I enables the synchronization between the Azure AD and the on premise Active Directory, 

1. is is possible to change my password either in Azure AD or OnPrem AD and it will work in both direction?

2. is it possible to activate the MFA function for all users independent if they log-on on Azure AD or OnPrem AD?
(I mean do they get a MFA dialog if they log-on on the OnPrem AD?)

Thanks for helping.

George