Seriously!!!

That is one thing that they did notice about the converter. It didnt have any weights but it did have some marks that looked like drill holes to remove material from one side that I assume were for balancing. As for the balancer I have a stock 318 one but Im not sure if that will work on a 360.
360s are all externally balanced from the factory. you need the correct weighted converter. OR the matching flexplate which you can order. you need to find out for sure if the converter you bought is neutral balanced or has been weighted some how. the 318 is internally balanced , thus the converter is not weighted nor is the balancer
or as doug says , you can get the weights and weld them on

if your people don't know any of this , you better clue them in before they go any further. if they didn't do any cutting and grinding on the crank counterweights, its just a matter of matching the external parts