Add and Remove Rows based on Cells

Hello,

I'm creating a weekly presentation spreadsheet for a military unit that will change hands frequently and I can't rely on users to know how to right click and add or delete a row.

In order to uncomplicate the procedure for users, I've added two cells - one for a member's rank, and the other for their last name. The list is required to be in rank order and then alphabetical (I realize that it is not this way in the attached image). When a user enters a name that does not exist in the list and the user clicks "Add Member", I need a macro to add a row in the correct place with that member's rank and name. Alternatively, when an existing member's name and rank are entered and "Remove Member" is clicked, I need a macro that will delete that row. Any help with this is greately appreciated - I'm way in over my head on this one.

Edit: I've included a sample worksheet with examples as suggested by AlphaFrog. If any more clarification is required, feel free to ask.
Edit 2: Uploaded .xlsm as per AliGW.

Rank order from lowest to highest is:
AB, Amn, A1C, SrA, SSgt, TSgt, MSgt, SMSgt, CMSgt, 2nd Lt, 1st Lt, Capt, Maj, Lt Col, Col

Capture.PNG