Tecumseh on 1977 Ariens flywheel

Hi All1.
I have a 1977 Ariens ST724 model 924032-008001 with a Tecumseh H70 130210d 7 horse power engine with electric starter 33518A, no lights, points.
One extremely cold morning the electric starter broke more teeth off the flywheel ring gear (I had a few already missing). The electric starter gear is still good. Now I must use the recoil pull start the machine.
I have not taken it apart as it still is snowing here, and need the snowblower running and it is too cold for this 71 year old to fix outside. The issue I am running into is I have gotten various part numbers for the flywheel. Possibly due to cross reference numbers or wrongly identified parts. (I am not sure how many teeth on were flywheel itself, nor the starter pinion.) Here is some what I got:
610694A flywheel, points, coil
30811A flywheel only
611042 ? flywheel 
611085 ? maybe electronic flywheel, new models?
 
What is correct flywheel?   no lights points ignition.
How can I know if a used flywheel is good? To be in specs to excite ignition? 
How many teeth on starter pinion if I replace it too?
Any help welcome, as I have to fix this myself as shop costs are out of my budget.
Thanks