To get it recognized in Windows go to the Control Panel -> Administrative Tools -> Computer Management. In there select from the left panel Disk Management (it may be hidden under Storage). If all is set up correctly, you'll likely see your drive in the bottom portion of the center panel. You'll have to right click, Mark Partition As Active.
You may have to change the drive letter around to what you like and format as you like, but that'll get you what you want.