[Tinky]

Examine the tree closely for leaf buds. If none exist, continue examining the tree. Break off a small branch. If the twig breaks off easily and is brown inside without any signs of soft or green wood, your tree may be dead. Scrape off a portion of bark with a knife or chisel. Look for green, soft wood just under the bark. If none is there, your tree may be dead.

Difficult to tell from photo, what type of tree it is.
I'm no expert but the second photo looks like it has green shoots below, could be Monbretia (crocosmia) or some type of grass. Pull out the dead bits to tidy, it should grow back alright. I believe roses should be trimmed above an outward facing bud. Hope this helps Zee.