I tried to load the schematic but Eagle Light says it's either damaged or edited with an illegal copy of Eagle. (Hey, I'm not saying that, Eagle is. I have no idea.)
Here are some (very) basic routing tips for Eagle:
You can either select tools from the icon bar on the left side of the screen, or else type the command name into the command line above the layout window. Hover your mouse over an icon to learn the name of the command.
Use the 'ripup' command to remove all the autorouting. Now, position the components as you would like them. Be sure to leave room for heat sinks, larger-than-expected capacitors, terminal blocks, etc. Then run 'ratsnest' to clean up the airwires. (Airwires represent the electrical links between components on the board before you route them.) Next, use 'route' and once it's active, set your width, drill, corner type, etc. preferences using the options bar that appears above the command line. Make sure the layer dropdown is showing the layer you want to work on (probably 'Bottom' if you're only working on one layer). Now link up the components as indicated by the airwires until there are no more airwires. It may take a lot of patience and artistry but it can be done. You will likely have to use jumpers, as dknguyen noted.
Hope this helps!
Torben