You don't need the pull start at all, if it does not start it either a weak battery, your Bendix drive its The small gear located at 11 O'Clock of fly wheel or a bad starter that engages the Bendix drive.

Maybe the your broken spring rattling in there screwed up the Bendix drive. $70 for a aftermarket one and easy to change,since its right in front of you ready to fall out on its own after the pull rope cover was removed.