Preheat oven to 350°F and line a 9×13 inch pan with parchment paper.
Beat eggs and sugar 4–5 minutes until pale and thick.
Stir in vanilla, then gently fold in flour, baking powder, and salt.
Mix in milk and fold in chopped strawberries.
Spread batter in pan and bake 10–12 minutes until springy.
Lift cake with parchment and roll while warm; cool completely.
Beat cream cheese, powdered sugar, and vanilla until smooth.
Whip heavy cream to stiff peaks.
Fold whipped cream into the cream cheese mixture.
Unroll cake, spread filling, roll again, wrap, and chill 2 hours.
Crush Golden Oreos and mix with strawberry gelatin and melted butter.
Spread remaining filling over the roll and coat with crumble.
Top with whipped cream, strawberries, and strawberry sauce; slice and serve chilled.