If you have spark at the points, then the coils are getting the current OK.
If the resistors in the spark plug caps are getting old and burned out, it can be hard to start in this situation: especially so if the plugs were wetted during that 30-second run you did before storing it. The plugs might need a bit of heat to remove the now-conductive fuel residue.
So, try this: check to make sure the plug caps are screwed tightly onto the plug wires. Remove the plugs and make sure they are not black and sooty (replace or sandblast if so).
Finally: if the condensors are more than 5 years old, replace them. They can make for a difficult startup after storage. When they are not used much, they shrink inside and their capacitance drops off, making for lots of sparking at the points and resulting loss of coil spark voltage, especially at starting speeds.