Yes, the fare calc shows HNL-EBB as a through fare, with a stopover at no extra cost. There is, however, a hefty fuel surcharge of $190 each way.
And the return fare is also a through fare, but you are being charged an extra $50 for the stopover (S50.00 in the fare calc). But as long as it is a single fare all the way from EBB to HNL, you are OK.
So the bottom line is, YES you can use the SWU's for this trip, one in each direction, with no problem at all. Now the only thing left to decide is whether to go to EBB or CPT or JNB. I know which one I'd choose