Olicana Smooth by Nick Cooke [G-Type, 2007]:
http://www.myfonts.com/fonts/g-type/olicana/

Many thanks!

Any idea how I can recreate the outline and shadow version of it as in the logo?

It depends on the application you are using.
The best way is to work with an illustration package such as Corel Draw or Adobe Illustrator but I think you can also do it in Photoshop.
The general idea is to set a gray color to letters outline, set the fill color to white (or transparent) and apply an appropriate shadow effect.