That's a pretty big tree to transplant. especially in May, it would have had an extensive root system which you will have inevitably damaged just as the weather is warming up, making it difficult for the tree to settle in to its new situation. It should also have been replanted at the same depth as previously, but there is another problem with the tree - there is a visible crack in the second photo which is oozing amber coloured sap,so its got gummosis. If the discharge is also smelly, then it's bacterial flux, and your tree will not survive that. Gummosis is quite common in stone fruit trees, but with this tree, something has caused a problem which may be related to the transplantation or some other cause. Some advice regarding gummosis here https://www.thoughtco.com/bleeding-tree-gummosis-solutions-1342685 but I'm not sure how much use that will be.
If you've not been watering much, then increase your watering to the base of the tree in hopes it recovers, but otherwise, keep an eye on the progress of the gummosis and a check on the stability of the tree, and remove it if it gets worse and the tree is obviously dying.
As for your new cypress, that had an intact rootball, being new and not dug up out of the ground, so there's no reason why that one should be suffering the same way as the transplanted one.