Posted: 16/03/2016 at 08:46
Re moss - A thorough raking and spiking will change the physical condition of the soil so the moss will not be happy growing there. It likes to be damp, shady and undisturbed.
Re the dog's yellow patches - the yellowing is caused by scorch from the uric acid (think that's the one) and once you start mowing the lawn you'll cut that off. The thing is that urine also contains nitrogen so that will fertilise the grass there and make it grow lusher and darker for a while - but if you fertilise the whole lawn (a while after you've sown the seed - check the pack for how long) then the whole lawn will be dark green and lush
You might mention to your neighbour that you're going to be applying 'several lawn treatments' this year and it would be advisable to keep the dog in it's own garden as you wouldn't want it to be affected and be poorly. If you use the lawn feed according to the instructions it's fine with pets and children, but it's a good ploy to get them to fence their dog in properly