If you wound the starter the wrong way the hook on the end might have jumped out of where its meant to be.
You are meant to wind it the driection the cord pulls, till it binds, then back it off at least one full turn. Knot the cord, poke the other end through the hole in the pulley, under the guide thru the handle and knot it. At the handle end, make two loops then poke the end through. Slightly bigger than a single granny knot and will hold better.
Always let it retract slowly just incase you dont have something right and it stuffs up and you have to start from scratch again.
With that type starter you will have fun getting it apart.
Either take it to a mower shop or look in the Victa tools thread in this section, theres a picture of a holder I made up so you can get the starter apart. Remove the clip underneath that throw out thing on the underside of the starter before you do anything, and put the clip back on last. If its in there when you do the center pin back up it will jamb.
Cheers, Bob.