Can anyone tell me what this plant is please?

Hello

We have recently moved to a new house and have inherited some plants/bushes that the previous owners left. I have no idea what some are or if I need to re-pot them/bring them inside for winter etc. I'm hoping someone on here can help :D Also it seems to have been eaten by something. We have lots of snails in the garden which I'm assuming is doing the munching.

 

Looks like a weeping ornamental cherry I think also I think it could do with some much needed TLC with regards to removing that bit of dead wood and also a good re-potting or even sticking in the ground It should be fine outside although that does depend how cold it gets...

Where's the RSPCP when you need them? (The Royal Society for the Prevention of Cruelty to Plants)

 

Thanks for that. Do I just cut off the dead looking branches with secateurs? Unfortunately our full garden is paved, so I'll need to get a larger planter. Lots of the plants left were almost buried in the trees and we found them when we cut them back