The rubber seal is known as a bellow. If the bellow is torn, more than likely it IS the cause of your leak. Your only course of action is the replace it. Searspartsdirect.com carries replacements. Just type in your model (as you provided) and look under the "Door and Latch Parts" heading for item number 1 (part #8182119). It is not a cheap part, but it will cost you much more to have an appliance repair company install it for you. This is not a difficult repair, and you can accomplish this on your own if you follow these steps:

http://www.fixya.com/support/r385210-replacing_door_bellow_kenmore_elite

Some additional parts that normally do not need replaced, but you may consider just in case are the front and back clamps that hold the bellow in place. They are listed under the same heading as items 6 and 14. They don't cost that much and may consider them just in case you need them. In particular, the front clamp, can break or the spring becomes stretched. Inspect these items just to be sure.

I hope you find this information helpful. If you require additional assistance, please let me know.

PS You may also try repairclinic.com for comparative pricing. They also carry the same parts (sometimes for less).