Chef John's Kummelweck Rolls
1 (.25 ounce) package active dry yeast 1 cup warm water (105 degrees F/41 degrees C) 1 large egg white 1 tablespoon sugar 1 teaspoon honey, or more to taste 1 ½ teaspoons salt 2 teaspoons water 2 ½ tablespoons vegetable oil, divided 3 ¼ cups all-purpose flour, divided coarse sea salt to taste ½ teaspoon caraway seeds, or to taste