Can I get missing achievements by replaying missions from the archive?

I had some internet connection problems so I have decided to complete some missions offline and I was not credited achievements for these missions. If I want to get these achievements, is going to the archive and completing these certain missions again enough? Or do I have to start the campaign from scratch?

For example, I was not credited an achievement for doing the baneling evolution mission and I really need it for the portrait. I clicked on the Void Seeker which is also needed for a portrait but it shows that I did not click on it.