[ukrmaf]

get a 99cent test light, ground the alligator clip to any clean metal on the motor, pierce the small wire on the solenoid and get someone to turn the key to crank postition if it lights up then your ignition switch is ok and your problem is the solenoid, im assuming the starter motor is ok considering when you touched it with the booster cable it started. If the light doesnt light up you have a broken wire between the switch and solenoid, or the ignition switch is busted, im also assuming your getting power to the ignition switch since your choke is engaging. there really isnt much to check, should be an easy fix, if you have any questions drop me line.