Which password are you trying to change? Is it your email pwd?
If so, try resetting your pwd using the "forgotten your password?" on this page: https://email.orange.co.uk/ . Make sure you get the orange Orange page & not the green EE page, so it doesn't need to send you an email you can't access nor for you to supply your old pwd. Keep trying that link until you get the orange Orange page.
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To phone EE: The local rate landline number +44 207 362 0200 or Freephone +44 800 079 8586 - Option 1 for Mobiles; Option 2 for 4G WiFi; Option 3 for Home Broadband & EE TV.
ISPs: 1999: Freeserve 48K Dial-Up => 2005: Wanadoo 1 Meg BB => 2007: Orange 2 Meg BB => 2008: Orange 8 Meg LLU => 2010: Orange 16 Meg LLU => 2011: Orange 20 Meg WBC => 2014: EE 20 Meg WBC