@User9609
Yes any general garden fertiliser will be fine.
I was going to suggest mixing the seed with sand as this greatly aids getting an even distribution. It's far from essential but helps to see where you have missed a bit. When you rake over the surface after sowing it will help improve the top surface drainage which aids germination and young growth. You must though used washed fine sand, do NOT use builders sand. I'm unsure what ratio of sand to seed you should use. Try Google and you're bound to find a Youtube video.
All birds like grass seed and wood pigeons will return day after day. I strongly recommend you cover. The netting is cheap and a very small investment to protect all your hard work to date.