Emergency Medical Attention Needed, HELP!

Emergency Medical Attention Needed, HELP!

A few months ago my mother bought a Fuschia plant, and then promptly forgot to water it for a few.. weeks, I think? It looks bad, very very bad. She's been keeping it watered, but I don't know what else has been done to it. Maybe half of the plant is dead and has already been removed. It didn't look good when she bought it, but it was starting to make a comeback! So can anything be done?
Help with plant/flower identification, please :D

Help with plant/flower identification, please :D

My room

My room

My Scandinavian home

My Scandinavian home

two plant ids

two plant ids

Problems

Problems

Discoveries in the garden

Discoveries in the garden