Modifying the "Your Info" Box for Logged in Users

Hi there,

Just made another post with some background on my project here: but starting a different thread for this separate issue.

When a user logs in, the log-in box on the homepage turns into a "Your Info" section as shown in the screenshot.

Is it possible to change what this box contains?

Most of these links are not relevant for our project, and there is other information that would be useful to have here.

Furthermore, most of these links are broken when you actually click on them -- I am assuming they require some sort of multi-site or buddypress functionality to work properly, but we are using neither.