Microsoft Office 2013 - PST default mail delivery

I moving from Office 2007 to Office 2013. I'm running an Exchange 2010.

My office environment practices routing all incoming and outgoing mail to a PST file leaving the online storage empty.
However Office 2013 cannot do so. All incoming and outgoing email will remain in the online mailbox until we pull the email into the pst.

A workaround for incoming email will be create rules for incoming mail to route to PST folder leaving online inbox empty. But for outgoing, it creates a copy to PST send items it doesn't move leaving online sent items a copy of the email.

My questions.

1) Am I missing something from Office 2013 settings that I cannot route all incoming and outgoing email to PST?

2) If Office 2013 removed that features, how to I keep my current office environment practices whereby my incoming and outgoing emails by default will go to PST?

3) Is there any configurations or policies to delete sent items in all users?

4) Will my exchange size blow out of proportion?

Appreciate any input. Thanks.