Glue the trimed hinge halves to the back side of the hatch. I held hatch vertical and used one drop of thin CA to glue the hinge in place. let gravity keep the excess glue out of the hingepin openings. repeat for all four hinge halves.

Reassemble all four hinges and put a drop of oil on the hinge pins. Using the vertical method and thin CA glue the doors to the hinges. Be sure to center the doors in the openings on all sides. After all are glued and work free, use some gap filling CA and glue all the hinge edges and over the remaing holes in the hinges. Don't forget to hold the hatch vertical and apply the glue BELOW the hinge pin. Again gravity will keep the excess glue out of the hingepin.