Posted: 11/05/2016 at 10:03
IMO - that lawn doesn't look too bad considering what you had to start with & the limited budget. If you are redoing the garden completely soon it makes good sense not spending too much money on it now.
You are probably correct that the lawn is growing unevenly because of what is underneath and that would also account for some of the ups and downs.
I'm no groundsman but your plan seems reasonable enough.
I don't think I'd waste energy scarifying at this stage - there's probably not that much thatch to remove.
If there are a lot of bare patches - a general spread of compost and seed will help.
You could also concentrate some soil/compost into the pockets - compact it down by walking on it and reseed - this will help even the lawn out.
It might also be that your lawn looks bad at the moment because it's coming out of a wet winter and cold spring - so a spring lawn feed might help as well