Hey Erik, i'm not a blender guru at all, but i know how i'd make this in maya.
I found you a tutorial in blender on how to create a logo, to help with your logo and coin idea.
Essentially, when it comes down to the coin, I would probably just have a cylinder modelled, and then texture on the face of the coin, and adding a "bump map" to the face to make it look like it has a relief on it.
A bump map is a greyscale image that represents it's "bump" value. White usually = 1 which is a highest value of the bump, while black will represent "0" which means it's flat (or even with the original surface)
If you get stuck, the manual/wiki is pretty good, and so is the tutorials section of the page.
I would first familiarize yourself with the interface of blender, as the learning curve is VERY high, when it comes to learning new 3d software from scratch.
Creating a Logo at BlenderNation
Manual - BlenderWiki
Alternatively, you could do some of the 3d in illustrator, and then composite the different sections together afterwards.
hope this helps some.