In a small saucepan, gently warm the 3/4 cup of milk over low heat until it is just lukewarm (about 100-110°F). Pour the warm milk into the bowl of a stand mixer and sprinkle the yeast and granulated sugar over the top. Let it sit for 5-10 minutes until the mixture is foamy and fragrant.
Using the dough hook attachment, add the egg, egg yolk, and salt to the yeast mixture. Mix on low speed to combine. Add the 3 cups of flour, one cup at a time, mixing until a shaggy dough forms. With the mixer running on low, gradually add the softened butter pieces, waiting until each piece is mostly incorporated before adding the next. Continue mixing for 5-7 minutes until the dough is smooth, elastic, and pulls cleanly away from the sides of the bowl.
Transfer the dough to a lightly oiled bowl, turning to coat. Cover the bowl with plastic wrap or a damp kitchen towel and let the dough rise in a warm place for 1-1.5 hours, or until it has doubled in size.
Gently punch down the risen dough to release the air. Turn it out onto a lightly floured surface and roll it into a 10x14-inch rectangle. Spread the strawberry jam evenly over the dough, leaving a 1-inch border along the long sides. Starting from one long side, tightly roll the dough into a log, pinching the seam to seal. Slice the log into 8 equal pieces using a sharp serrated knife.
Place the rolls, cut-side up, into a greased 9-inch round cake pan. Cover the pan loosely with plastic wrap and let the rolls rise in a warm place for 45 minutes to 1 hour, until puffy and nearly doubled. Meanwhile, preheat your oven to 350°F.
Bake the risen rolls for 22-25 minutes, or until they are golden brown on top. Transfer the pan to a wire rack to cool for 20 minutes.
While the rolls cool, make the cream cheese glaze. In a medium bowl, use a hand mixer to beat the softened cream cheese until smooth. Beat in the sifted confectioners' sugar, vanilla extract, and 1 tablespoon of milk until the glaze is smooth, creamy, and thick but pourable. Add an extra teaspoon of milk if the glaze is too thick.
Drizzle the glaze evenly over the warm rolls. Serve them warm.