Preheat oven to 350°F; beat eggs and sugar, add vanilla.
Fold in flour, baking powder, salt, and milk.
Spread batter in pan; bake 10–12 minutes.
Invert onto sugared towel and roll warm cake.
Beat cream cheese, sugar, vanilla; fold in whipped cream.
Mix strawberries with sugar; rest 10–15 minutes.
Unroll cake, spread filling, add strawberries.
Roll again, wrap, chill 2 hours.
Top with whipped cream, cookies, and strawberries.