Donald,the laminate material could be used,but it may not work as good as ferrite type.It might saturate at the higher frequencies the cell needs to resonate at.You could try it,it can't hurt.
As for the the coil pack,there isn't any circuits on that card.There's a 5 volt regulator,and a 2n3055 transistor for the voltage amplitude control circuit.There was a resistor in line with the primary,thats not in Stans original schematics.The blocking diode is there too,the one Stan said was used.Thats all there is on that card.
Don