it would help a bit if you could provide more info,ie,
how long will it run before restarts become an issue,are you choking it again when trying to restart it,not choking it???
are you rolling the throttle up to the start position when attempting a restart??
does it smell gassy while trying to start it???
most of those older motors had two knobs that adjusted the mix on the carb,one for idle mix,one for high speed,yours may only have the idle mix knob to get the smoothest idle at low trolling speeds so it wouldnt load the plugs up when trolling.
if it is leaned clear out there may not be enough fuel to start the engine and get a reliable idle again.
by your description it sounds like its flooded as it appears to take a lot of pulls to get it started again.
flooding can be caused by choking when the motor is already warm enough to not need choking.
in that small engine compartment if you are using ethanol gas there is enough heat to vaporize the fuel in the carburetor causing a flooding situation while at the same time causing vapor lock in the fuel pump.
you say you have spark,is that after it becomes difficult to restart??
if you still have spark there is nothing wrong with the points and condensers if it is old enough to still use that set up.
no spark after being warmed up tells me either the condensers are shorting out or the coils are,check the coil bodies for splitting of the plastic protective body,if split,they are junk.
if it is a late seventies,say around 76-79 if memory serves me they went to the capacitor discharge ignition (CDI) that would run great when cold but the trigger or stator would lay down when warm causing a no spark as well.
more info please and I bet we can figure this out for you,that is a great motor if it has had even a bit of reasonable care.