What next for my new lawn

I srayed the garden with Roundup almost 3 months ago and again 10 days ago. I’ve now began digging it up but there’s lots and lots of weeds throughout the muck and even roots of rushes. The soil it self doesn’t look to bad to me. I’m just curious will rotivating the “dugup” garden be the next step and then should i try and rake out the weeds and stones from what remains. Should i give the “dugup” soild another spray of roundup ??