Two methods springs to mind:perhaps just some general guidance on solving problems like this

If you can assume independence:

f(e1,e2) = f(e1)f(e2)

Hence find the marginals and then find the simultaneous....

If you cannot assume independence use conditioning:

f(e1,e2) = f(e1|e2)f(e2)

both marginal distributions - for either spades or jacks - are easily found... drawing without replacement problem...