Hi Jason,
What is the “Change My Password” web part ( should be non-OOB web part) you used?
You can try to find the more relevant error log under 12/LOGS folder per this
article.
You can check and make sure the web part file is in your second server location C:\Program Files\Common Files\Microsoft Shared\web server extensions\12\TEMPLATE\FEATURES,
and check the status of the web part feature from Central Administrator->Operations->Solution management.
Or you can delete and re-deploy the “Change My Password” web part in your second server (
stsadm command ), then check the result again.
Thanks
Regards, Daniel