At only 2.8 light years away, life is toast.
Most scientists believe that the minimum safe distance from a super nova would be around 200 light years away. As close as you're talking, it's probable that the energy release would sterilise any planets around your star system, so life (if it was forming or had formed) no longer exists.
From a practical perspective, what happens to the rest of the solar system artefacts (the suns and the planets) is kind of irrelevant as there is no-one on these planets to see it; even visitors would find these planets barren and hostile, for instance. I suspect that the energy release would strip the atmospheres away from the planets in the first instance, and while they may reform over time, this puts some pretty severe limits on life reforming as well. As for the stars, it's likely that they will also be impacted, but it's unclear as to how. At that distance, the material and energy released could easily disrupt a star and cause massive coronal mass ejections (CMEs) that in turn would cook any planets close in that may have otherwise survived the super nova. While it's possible that a star could be disrupted by having a large percentage of its gases stripped away this is unlikely because of the local gravity well and magnetosphere it generates.
But the thing is, EVERYTHING about a supernova is big. It's hard to conceive of an explosion on that scale and properly understand it. At that range, some stars may well be destroyed but it's important to note that most stars in the core of our galaxy are probably that close to each other and supernovae would have to have gone off many times in that region in the past, and the stars are still shining (or at least their light is still reaching us). So, it's possible that the celestial bodies of your solar system may survive in some form. But life on the other hand at that range is done for.
In point of fact, there's a theory around the timing of mass extinctions on Earth that pretty much says that the chances of a mass extinction while the solar system is actually passing through the lateral disc of the galaxy (as well as orbiting, it wobbles up and down on the Z axis) is around 1 in 2, or 50%. We just passed through that disc about 1 million years ago so we're not thought to be at risk for another 29 million years or so but the very existence of that theory tells us that being in close proximity to other stars is very dangerous to us as lifeforms. All it takes is a single star to go nova close enough to us and not even bacteria can survive on the surface of the earth.
So, while certain celestial bodies may still exist, in the long term their chances of harbouring life again within another million years or so are close to zero.
