Unfortunately, it's going to take rather a lot of manual painting to fix damage like that.  To begin the process of repairing it, you need to reduce the effect of the damage, since I don't think it will be possible to remove it completely in one step.

One method might be to create a curves adjustment layer, fill the mask black, and paint in the curves adjustment using white on the mask.

For example:

[![enter image description here][1]][1]

Obviously this is only a first step.

Once the majority of the damage has been removed, you could create a new layer - a copy of the visible layers (using Shift+Ctrl+E), and then begin to do more detailed repairs on that, perhaps using the Spot Healing brush.

For example:

[![enter image description here][2]][2]


  [1]: https://i.sstatic.net/M65iy.gif
  [2]: https://i.sstatic.net/YHAVA.gif