The filter might need a sand change, if only to see what the umbrella assembly (up pipe and laterals) look like (i.e undamaged). Easy to to and under $100 to do, assuming no damages inside.
The pump, it it work, keep using it. Might need a Go-Kit and motor. Under $300 if you do it. It isn't that hard.
The liner will likely cost a couple grand plus basic installation( area dependent, I get about $6-700). Until the wall foam is removed, we can't tell if it was put in as a way to boost the bill (some installers are less scrupulous than me). If it is needed, expect about $250 to $300.
The floor and hopper will need substantial work. The lack of water will have caused washouts, a condition that happens with sand bottoms and hoppers. I see rocks. Rocks and liners don't mix. I would rebuild the floor and hopper with V-Mix for its better resistance to washouts and denting. I expect this to be the biggest part of the bill. Close to $4500 and this needs a pro. It really isn't a DIY job.
The coping is fine. If it needs painting, cans of Krylon or Rustoleum.
Don't cover the pool until after the new liner is full. Safety covers rely on water being within 18" of it for support. A snow load will cause it to fall in. That will damage the springs and webbing significantly and would not be covered by a warranty.
A 2x12 board can be set as a ramp on the side of the steps so any critters can get out that are too small to negotiate the steps.
Scott
