I went on the Volcano for the first time. Everything was fine. But when I left, Abigail was not with me anymore, and her flower was back into stage 1. Some days later, I went back to the Volcano with Abigail back alive and then, as you can see on the image, two Abigails were there. I had a couple of fights, and the "fake one" died without dropping the flower. Now I'm back to normal I guess, and I haven't got this issue anymore.
I captured a Cormoran with a Trawl Net , I don't know if it's supposed to happen (I was at high speed). Once I opened the net, the image of the bird was not visible, just his "freshness". As you can see on the first image, it's in my inventory. Then I was able to put it in my birdcage and feed him some meat. In the birdcage, the bird is still not visible.