Can it recover!

Hi all,

Looking for some advice re the state of the back lawn (pic), caused by a puppy, poor drainage and la k of care on my part. I have raked up most of the dead grass caused by the puppy’s urine and general antics so I am left with something that is quite painful to look at. What is the best course of action.
The garden is in the sun from lunchtime onward well 3/4 of it on the right hand side of the pic, the remaining 1/4 is mostly shaded by the fence and trees at the back boundary. TIA

 

It's a goner!
I'd wait until the dog is fully trained to use one area, then re turf

 

Looks pretty green, what is there, mines pretty much all brown.

 

He’s not using the grass anymore as he’s 8 months and trained to go on another part of the garden. It’s a rental property so don’t want to spend money on turfing. I am not shy of the work so was hoping it would be fixable with some effort