Here's a link
that gives a lot of information on rules.
In Outlook, click Tools, Rules and Alerts, New Rule, Start from a blank rule, Check messages when they arrive, Next.
Now you'll determine which messages you want this rule to apply to. In your situation, "Where my name is in the To box" will probably work. Click Next.
Now you'll determine what action the rule will take on the selected messages. "Forward to people or distribution list" should take care of forwarding the email to your supervisors. Be sure they are set up in Outlook Contacts. Once you check that box, the rule pops into the lower area of the screen (Step 2). Click on the underlined "people or distribution list" to open up your Contacts list. Double click all the folks you want to receive the message, then click Next to move to the next screen to set any exceptions.
Click Next to name the rule. There's also a check box there to run the rule now on your inbox. You may or may not want to do that, depening on how many messages there are in the Inbox.
The outgoing rule will be set up very similarly. You'll choose "Check messages after sending". I think the condition that will work for your situation is "through the specified account". Once you check this box, look in the Step 2 box and click the underlined "specified account" to choose your account.
Please post back if you have any issues.