
The problem here is too much text! The eye doesn't know where to look. On this page, these are the primary actions the user would want to accomplish:
- log in
- view published results (does not require a log in)
- find out if they can use the system, and if so, how to get started
- get information regarding deadlines
The first two actions are small links with no real method of attracting the user's eye. They're lost in the sea of text. The third action is right at the top, but the header for it is not obvious and is easily missed to a roving eye. The last action is buried at the bottom of the page and easily missed by users with smaller screens.
After:

The first two actions are immediately obvious. These are the first places the eye goes. The third action could still use improvement. The "who can use it" part is presented right at the top, but it doesn't really attract the eye. A header is needed. Also, the part about getting started got moved to the bottom of the page where it might be missed by those with smaller screens. Still, it's clearly labeled and has much less text. The last action has been moved up to where it will appear on smaller screens and has explanations added to the different time-frames to help the user get a clearer idea of how the system works and what their responsibilities are.
I think there is still room for improvement, particularly with the third action, but it's much cleaner and hopefully answers all four issues better than before.