Unable to program buttons on the phone

If you have the Admin password then follow this procedure:
For a DT330 (24-Button with 4 line LCD)
Do not lift the handset and press the Speaker button
Enter #*#*
Enter the 4 digit admin password and press the Transfer button
The phone will now display 'Program Mode'
Select Base from the four options using the associated softkey
Enter 15 and press the select softkey 2 times
The Extension Number and Ext Name will be displayed
Find the Extension Number you want to change the Extension Name for using the + and - softkeys
Press the Mic button to go to the Ext Name line
Enter the New Name using the number dial keypad.
If you make an error the Recall button will delete a character to the left and the Hold button will delete all characters to the right of the cursor.
Press the Transfer button to accept the new name.
Press the Answer button 4 times or until 'Program Mode' is displayed.
Press the Speaker button.
The system will save the changes and return the display to normal.

To program a Caller ID Name Display button using remote administration on Partner ACS Release 3 or later systems:

1. In the Partner ACS R3 System window, select Extensions. The Extensions window appears.
2. Select the extension you want to program. The Individual Extension Parameters window appears for the selected extension.
3. Select the Button Programming button. The Button Programming window appears for the selected extension.
4. Optional - For new systems where no download is available: From the Phone Model box, select the arrow and choose Partner-34D, Partner-18D, Partner-18 Non-display, Partner/MLS-6 Non-display, MLC-6 Cordless, MLS-12 Non-display, MLS-12D, MLS-18D, or MLS-34D for this extension. The button layout for the type of phone you selected appears.
5. Select the button you want to program. The Partner Set Button Programming Information dialog box appears.
6. Select the Caller ID Name Display button.
7. When you are finished, select the OK button.
8. Repeat steps 5 to 7 to program other buttons for this extension.

I believe this is a programming issue.

To change the ringing assignments on extensions enter programming mode by pressing Feature **266344 and password 266344 if it hasn't been changed. You have to do this from an M7310 phone. The top two buttons on each side will move you through programming. The top right button is the SHOW button and the button below it is the NEXT button. The top left button is the HEADER button and the button below it is the BACK button.

Your first category should be TERMINALS & SETS. Press the SHOW button and using the dial pad enter the extension number. The display should show the extension number or name. Press SHOW three times and the display should show LINE ___.
With options to SCAN or LIST. Pressing SCAN will show the lines assigned to the extension. Use the CHNG option to change how the line is on the phone. RING ONLY - UNASSIGNED - APPEAR ONLY - AND APPEAR & RING. Change the lines you want to ring in NORMAL DAY MODE to APPEAR & RING for this extension and press SCAN to move to the next assigned line. Use this same method for any extension you want to change the ringing on.

A label can have a maximum of seven characters.
To administer Labels for Extensions from the System Programming console:

1. Press Menu.
2. Press System Program.
3. Press Exit or Start.
4. Press More or Right Arrow Key.
5. Press Labeling.
6. Press Directory.
7. Press Extension.
8. Dial the extension number that you want to administer.
9. Press Enter.
10. Press Drop.
11. Enter the label information for the extension number selected.
12. Press Enter.
13. Press Exit or Back.
14. Press Home or Exit to exit programming mode.

Note: When programming on the system programming console, use the buttons next to the display to specify the letters A through I and punctuation. Use the line/feature buttons to specify additional alphanumeric characters for labels. Use the template provided with the System Programming console to see which line buttons correspond to which alphanumeric characters,

Changing the programming on a Partner system is done on either ext 10 or 11. At one of those ext's press the feature key and "00"
next press the left hand intercom twice
the display should say system programming
press the left hand intercom button
the display should say central telephone prog extension:
enter in the extension number of the persons phone you wish to rename
the display should say program extension xx
press the left hand intercom button
the display should say the extension number followed by the existing programmed name
enter in name of new person by pressing the number where the letter is then its order on the button so under the 2 button 1 would be A, 2 would be B, and 3 would be C ex. BILL = 22 - 43 - 53 - 53 use the mic/hfai button to erase entry.

either press the right hand intercom to go to the next extension or press feature 00 to exit

A label can have a maximum of seven characters.
To administer Labels for Extensions from the System Programming console:

1. Press Menu.
2. Press System Program.
3. Press Exit or Start.
4. Press More or Right Arrow Key.
5. Press Labeling.
6. Press Directory.
7. Press Extension.
8. Dial the extension number that you want to administer.
9. Press Enter.
10. Press Drop.
11. Enter the label information for the extension number selected.
12. Press Enter.
13. Press Exit or Back.
14. Press Home or Exit to exit programming mode.

Note: When programming on the system programming console, use the buttons next to the display to specify the letters A through I and punctuation. Use the line/feature buttons to specify additional alphanumeric characters for labels. Use the template provided with the System Programming console to see which line buttons correspond to which alphanumeric characters,

To edit display name on LCD DKT3020-SD.

Follow this sequence:

Mode
Scroll
Enter passwork - 0000 is default
Hold
Hold (again)
DN ID (This is your phone extension #)

Old name should now be displayed. Hit page button to delete letters, scroll button for space.

Use characters for the the associated number key to enter desired name. For example if you want an "F" you would hit the 3 button 3 times. After your name is entered, press hold. Pick up and put down receiver.

http://dstech1.com/changing-the-name-on-an-extension/

A label can have a maximum of seven characters.
To administer Labels for Extensions from the System Programming console:

1. Press Menu.
2. Press System Program.
3. Press Exit or Start.
4. Press More or Right Arrow Key.
5. Press Labeling.
6. Press Directory.
7. Press Extension.
8. Dial the extension number that you want to administer.
9. Press Enter.
10. Press Drop.
11. Enter the label information for the extension number selected.
12. Press Enter.
13. Press Exit or Back.
14. Press Home or Exit to exit programming mode.

Note: When programming on the system programming console, use the buttons next to the display to specify the letters A through I and punctuation. Use the line/feature buttons to specify additional alphanumeric characters for labels. Use the template provided with the System Programming console to see which line buttons correspond to which alphanumeric characters,

The side buttons is programmed as extensions
To change the extension names follow these steps :

If you are using the KX-T7730 phone on a Panasonic KX-Txx 308 or 824 system.
From the Switchboard / Main telephone ( usually ext 101, 10 or 9 ) with the handset on the cradle/hook :
1. Press PROGRAM * # followed by the system password ( default is 1234).
2. Now press 604 and then SP-PHONE. Enter the jack number you wish to change ( 01 is extension 101, 02 is extension 102 etc. ).
3. Enter the name ( basically the same as texting on a cellphone ). Press AUTO DIAL / STORE to save your change.
4. To go to the next extension press SP-PHONE. Don’t forget to press AUTO DIAL / STORE to save your change after each name entered.
5. Press PROGRAM to exit program mode and you are done.

http://dstech1.com/changing-the-name-on-an-extension/

A label can have a maximum of seven characters.
To administer Labels for Extensions from the System Programming console:

1. Press Menu.
2. Press System Program.
3. Press Exit or Start.
4. Press More or Right Arrow Key.
5. Press Labeling.
6. Press Directory.
7. Press Extension.
8. Dial the extension number that you want to administer.
9. Press Enter.
10. Press Drop.
11. Enter the label information for the extension number selected.
12. Press Enter.
13. Press Exit or Back.
14. Press Home or Exit to exit programming mode.

Note: When programming on the system programming console, use the buttons next to the display to specify the letters A through I and punctuation. Use the line/feature buttons to specify additional alphanumeric characters for labels. Use the template provided with the System Programming console to see which line buttons correspond to which alphanumeric characters,