I think 6.0.2 already has a jailbreak available. I'm certainly no expert, so someone please correct me if I'm wrong. Check out the jailbreak section of the forum, which you will not see if you're on the iCafe App, but can access on the full site.
You can do this as long as you have a 5.1.1 SHSH. Don't restore in iTunes. Instead, use redsn0w's restore option. Here's a guide for restoring with redsn0w using SHSH blobs (scroll down to instructions for 4S...). You'll need to download the 5.1.1 .ipsw first.