I think you should read Dave Jones exellent tutorial on PCB design first, and then a genereal Eagle (video) tutorial.
http://www.alternatezone.com/electronics/files/PCBDesignTutorialRevA.pdfFor very small projects it may be ok to just place the parts on the board without using a corresponding schematic file, however I advise you to do it the right way from the start. That means you draw a schematic first, if you haven't done that already.
Then while you route your board you should take the minimum trace widths your milling machine can handle into consideration.
The alt grid setting lets you easily switch between the default grid and the alt gird.
The alt grid gets activated when you push down the alt-key on your keyboard.
Cheers from Germany,
Florian
Cheers,
Florian