My '87 Si hatchback (220K miles) has an acute cold/wet weather
problem.  During cold wet rainy days, car will stutter and backfire
until engine reaches full operating temperature.  Car starts instantly
when cold, but will stutter/backfire when given 1/8-1/4 throttle at
low rpms.  When revs come up, will take more throttle w/o
stutt/backfire.  If car is parked before reaching full temp, say, to go
into the market for 10 mins, car will hardly restart.  Needs multiple
10-20 sec start attempts (no gas) until get a cough, then again, then
will catch and be very stuttery and stall w/ too much throttle, but
runs.  If gas applied, before start, huge embarrasing backfire, so I
know the injectors are getting fuel.  Restart problem occurs when cold
and dry, but not cold engine stutter problem.  Problem does not exist
during warm weather.  

To me, it sounds like either a electrical (condensation?) or choke
problem, but I know nothing about either on a Honda.  I do most of my
own mechanical work, but am more familiar with old American iron.
Never been into the "ignitor".  

nb