This issue is happening with me on my Samsung Illusion.
The update killed my ability to go onto MyVerizon at all through the widget and the browser.
Tried from my laptop with same info and it worked fine so I know it is the app.
CANNOT uninstall.
Update made it worse and required to update, so that's genius.
Uninstalled update. Restarted my phone. Installed update. Restarted phone. No worky.