Now that we have our first test phone setup , and syncing could someone
help me understand "Push" ?

I was under the impression that by allowing "Push" on all E-mail that it
would do an immediate push to the device anytime someone received a new
E-mail (or whatever we have configured) while syncing new contacts and
Calendar appointments every 10 minutes (ready sync speeds).

E-mail FROM the device are being pushed immediately with no problems , but
new E-mails coming into the inbox only show up every ten minutes.

Is there a setting I am missing ? I verified that push is turned on in
all locations I could find it except in the Device screen for SMS push, as
I don't want to SMS push , but to E-mail push immediately.

Any help is appreciated.