Solution by my side :
1.It's entirely depend upon the employee, whether she opts to retain her before marriage name or after marriage name.
(But if she has changed her name after marriage, she can put it. That will be more safe practice.)
2.PF department will not ask any certificate to prove date of birth, but my advice to put any information which back you by any legal document.
(Though employee can change her date of birth in her SSC certificate, but a long process.)
3.Only in case when employee does not have any family nor parents, in that case until siblings are unmarried.
4.I do not think there is any option in Form - 2, where you need to enter your previous employment's PF account details.
5.That employee need to furnish Form - 13 to the PF department.
Hope, this will help you !