There are lot of benefits to migrating from Exchange 2007 to Exchange 2013. The best place to start would be to take a look at the new features in Exchange 2013. the introduction of DAGs in Exchange 2010 and continuation of the DAG in Exchange 2013
and the changes to CAS and Mailbox roles are just a few of the benefits.
https://technet.microsoft.com/en-us/library/jj150540%28v=exchg.150%29.aspx?f=255&MSPPError=-2147217396
As benefits of updating CRM, I suggest you post that in the forum below.
https://social.microsoft.com/Forums/en-US/home?category=dynamics