You can edit your profile including your account name by going to the My Account Section and clicking on the My Profile option. Here you will be able to make any changes or provide MarineTraffic with additional or updated information about yourself. The form is similar to the one that you had completed during your registration to MarineTraffic. Just make sure that you do not leave blank any fields marked with "*".
Once you are done, click on the Submit button at the bottom right corner of the form in order for the changes to take effect.