Posted: Yesterday at 16:22
If your soil is half decent you don't need to put down topsoil. What you have done so far is fine. The aim of rolling it is to level it and firm it, not compact it. Just go over the soil with the rake and break it up, levelling it as you go. Don't get too hung up on having it as level as a billiard table - you will be able to judge by eye whether it is OK. Then put your turf down on top of the raked soil.
It looks as though your lawn will be higher than the gravel path so you will need to put an edging along there.