I think your approach of flipping the light schedule after harvesting the autos is the right one. If they are sharing a light you can train the photo plant with LST to keep it from over growing the autos, or getting light burned. For nutrients there are a few options. You could use an all in one nutrient like Megacrop which is great for veg and flower. You could also top dress amendments instead of using liquid nutes so you could ammend the soil around the various plants according to their need. If you want to give them all the same liquid flowering nutrients, consider using a bit of alfalfa meal or blood meal as sources of nitrogen, just around the photo plant, working those a few inches down into the soil. Hope this helps!