Norton 360, won't provide you an entitlement to NMS. There is a product coming out very soon (wait for the announcement soon) that will provide you cross platform entitlements.
While waiting for Erik's new product you could download the free "Lite" version of Norton Mobile Security from Google Play (used to be called the Android Market). It is called "Norton Antivirus & Security" there. It comes with a limited range of features but it should give you some protection without having to pay anything.
