Both my rims were fine despite the broken spokes, but that was just one per wheel... two right next to each other may lead to a flat spot there and/or broken spokes on the opposite side of the wheel, as you know. The parts-ordering and repair process will surely take some time, so it's up to you if you want to keep riding on it; if you do, I'd definitely keep a close eye on the rim and all remaining spokes and inspect both after every ride, along with increasing front tire pressure and avoiding square-edge impacts.
I'd also contact the Zero dealer ASAP to let them know, and have them order the new spokes right away - I'd get 4 extra for each wheel as spares, the L and R spokes are different on each. The warranty specifically excludes "wheels on off-road bikes once they have been ridden" (page 7.3 of the manual), so you'll probably have to pay for them - they're about $4 each.
On a related note... as long as the dealer will be placing a Zero parts order for you, you might want to look your bike over and see what other parts you might need spares of, to possibly save down time in the future.
Ray