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This article should help: https://www.gardeningknowhow.com/ornamental/trees/weeping-cherry/weeping-cherry-growing-tips.htm

Watering daily is crucial for new tree plantings.
Make sure the soil is adequately draining. Make sure the new tree was planted not to deeply.

Here is a couple of links to help you.

https://www.gardeningknowhow.com/ornamental/trees/tgen/watering-newly-planted-tree.htm

https://www.gardeningknowhow.com/ornamental/trees/weeping-cherry/weeping-cherry-growing-tips.htm

Unfortunately, most weeping cherries are grafted. The top is a weeping cherry, while the roots are from a sturdier tree. Once the top dies, the root tree will try to reassert itself as the whole tree by growing those shoots, called suckers, at the bottom.

This article will help you determine for sure if the top of the tree is dead. If it is, then you will not be able to bring it back.
https://www.gardeningknowhow.com/plant-problems/environmental/how-to-tell-if-a-plant-is-dead-and-how-to-recover-an-almost-dead-plant.htm

This sounds like tree canker, which can be either fungal or bacterial. Here is more information: https://www.gardeningknowhow.com/plant-problems/disease/weeping-amber-in-trees.htm
http://www.ipm.ucdavis.edu/PMG/r105101511.html

This article should help: https://www.gardeningknowhow.com/ornamental/trees/weeping-cherry/pruning-weeping-cherry.htm

This article should help: https://www.gardeningknowhow.com/ornamental/trees/weeping-cherry/pruning-weeping-cherry.htm