The photo of the leaves looks like frost damage. Many woody plants have been affected by a cold snap and this will not affect the health of the tree. Leaf buds are hardier than flower buds and bloom may be affected.
The tree in the other two photos looks like a dogwood and Looks like it was recently pruned. Dogwood trees are susceptible to numerous problems. They can suffer from environmental and cultural stresses. Their roots are very shallow, so they can be affected by drought stress, planting too deeply, excessive moisture, poor drainage, excessive mulch, damage to the root system etc. can affect the health of the tree. See our publication on these types of problems http://extension.umd.edu/sites/default/files/_images/programs/hgic/Publications/HG86%20Common%20Abio...
When stressed these trees are then susceptible to diseases like powdery mildew, anthracnose, as well as, boring insects.
At this point all you can do is scratch the branches with your fingernail and look for green tissue. If you see it, the branch is still viable. However, you will probably have to consider replacement since this tree is in a prominent location in your landscape. If you decide to replace with another variety select the most disease resistant varieties possible.
See our publication on dogwoodhttp://extension.umd.edu/sites/default/files/_images/programs/hgic/Publications/not_updated/hg12_IPM...
All you can do is water during dry periods and make sure mulch is no thicker than several inches and keep away from the base of the trunk.