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Unfortunately, it's pretty much out of your control. Here is why:

https://www.gardeningknowhow.com/ornamental/bulbs/iris/why-an-iris-changes-color.htm

Yes, I would go ahead and plant them now. Be sure you let them die back all the way in the fall/winter before removing the leaves, so they can "feed" the rhizomes.

https://www.gardeningknowhow.com/ornamental/bulbs/iris/iris-plant-care.htm

I clicked on the image author and he did not give a plant name but it looks like a type of miniature iris. There are too many iris cultivars that look almost alike to try to identify one. You can try searching online for a hot pink or fuchsia miniature iris and see what you get.

They will recover, but may take two or three years. An iris clump left for that long will have suffered quite a bit of stress, as they should be divided periodically to avoid overcrowding. When you do go to divide such a mass, it will take a toll on them for a little bit.

Rest assured, with proper care your flowers will be back to beautiful in the next couple of years. Dividing them every 3 to 5 years or less will keep them healthy.

This collection of articles will offer tips on irises:

https://www.gardeningknowhow.com/ornamental/bulbs/iris

I hope you kept your rhizomes dry and in a cool, dark place. Here's an article:
https://www.gardeningknowhow.com/ornamental/bulbs/iris/storing-iris-rhizomes.htm

That is a whole lot of stress for a plant! I think the fungicide, alone, would have been enough, as well as testing the soil for pH imbalances and nutrient deficiencies.

The test, now, may likely show chlorine toxicity in the soil. Keep testing the soil until everything falls back into range, and you can begin to correct the pH and deficiencies, then.

Make sure that the soil has plenty of time to dry out, down to about 3 or 4 inches or so, between waterings. Overwatering is the primary cause for infections to set in.

Keep treating with a fungicide, making sure to follow all packaging instruction to avoid soil toxicity.

Here are some articles that will help:

https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/testing-soil.htm

https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/soil-ph-plants.htm

https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/testing-moisture-in-plants.htm

https://www.gardeningknowhow.com/ornamental/bulbs/iris/what-is-a-bearded-iris.htm