This is an old school, electromechanical ignition system. This is good, because each and every component can be checked and repaired, with only basic tools. So, begin checking, sir!
Each component can be the culprit.
In my younger days, we thought of this as fun!
Btw, the choke should not prevent the engine from starting, even if momentarily.... Aggressive stepping on the 'silinyador can overcome malfunctioning choke.