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This is normally caused by overwatering. This is an easy fix though. the leaves that are affected already will retain the spots, but the new growth will be fine. Although it will not cure the damage done already, it will prevent it from spreading.

The treatment that I recommend for this is to add a few capfuls of peroxide to the next watering. You should let the soil dry out almost completely between watering.

This article will refresh you on the care of this plant: https://www.gardeningknowhow.com/houseplants/crown-of-thorns/crown-of-thorns-houseplant.htm

There are actually two separate plants in that container! They are both a type of euphorbia, but they are definitely different species of euphorbia. The common name for the stringy one is the pencil cactus. Both contain a sap that is pretty toxic so wear gloves when pruning them.

As for the standard crown of thorns... if you grow them in a hanging basket, they will tend to hang like that.

This article will give you some interesting information on the different types of euphorbia: https://www.gardeningknowhow.com/ornamental/cacti-succulents/euphorbia/

https://www.gardeningknowhow.com/houseplants/crown-of-thorns/crown-of-thorns-houseplant.htm

https://www.gardeningknowhow.com/ornamental/cacti-succulents/pencil-cactus/care-pencil-cactus.htm

Moving can be very difficult on some houseplants. I would leave the plant to recover for the time being. With this plant, you may want to be extra careful with watering. Overwatering will put extra stress on the plant, which would cause it to further decline and possibly die.

Are you planning to keep it outside or inside? Outside temps that high may be too much for it. Indoors it should be fine.

The only thing that you can do here is wait, patiently. Make sure to leave it alone until you see new growth. You can, then, cut off any dead growth that has not come back. If you do not see any new growth within a month, then you may have to assume that the plant is dead.

Yes, this will be ok. Just start with the top tallest leaders. After they show new growth after the cut, then you can cut the others in the same manner. This will often force it to grow bushier as well.

This article will give you more information on the plant: https://www.gardeningknowhow.com/houseplants/crown-of-thorns/crown-of-thorns-houseplant.htm