I have simple analytics system which has around 6-7 pages for registered users and 5-6 pages for anonymous users. I will share with you URL to see existing look & feel and want better UI/UX.
You can go through pages and create new design that makes sense. Come up with theme, color and typography that is suitable. There won't be much revisions.
Output: You need to provide mockup in PSD or AI or whatever you like for all the the pages.
If you are prove to be good, I have more work for you.