Found this
$36.50 to your door. Or $419 new.
http://www.ebay.com/itm/Lawn-Boy-10...006c781&pid=100005&rk=2&rkt=6&sd=252490700021
You need to determine what the fault is before you start just throwing parts at it though... But for $40 it might just be worth having a spare starter.
You could also be able to just put a manual pull starter on it too.
I recognize the plug as a trailer wiring type plug that you can get at Napa. What happens when you just connect the starter direct to a battery without a load on it?
It is also a good idea to run a motor without a load on it to let the brushes wear to the commutator (don't let it overheat)
When you reassembled it, did the brushes go back in the same holder they came out of? There can be minor differences of alignment that may not have them making full contact.