Carefully extract the broken glass from the frame. Protect the edges of the frame with masking tape. Measure twice, then cut new glass to size using a glass cutter. Wear gloves when handling the glass and install it into the frame.
You can patch a hole in a wire screen using caulk or roofing tar. For larger holes, replace the damaged screen section using these steps: Use a sharp knife to cut around the perimeter of the screen frame. Remove the old screen and frame. Install the new screen and frame by gently pushing it back into place and securing it with nails or tacks.
Locate the screws that hold the sides and top of the sash in place. Use a screwdriver or power drill to remove them. Unhook the sash springs. While supporting the weight of the broken sash, gently lift it off the bottom track and out of the frame.
If the hole is small, fill it with wood putty to match the surrounding finish. For larger holes, clean the surface and clamp wood splints around the hole to support the exposed surface. Apply a thick layer of epoxy over the splints and let it cure for 24 hours before sanding and refinishing.