There are two red absorption peaks for the two chlorophylls. One at 640 nm and one at 660 nm. Red-red LEDs are 660 and orange-red are 640. If you want to hit those peaks you probably need both because monochrome LEDs usually have one narrow peak. On the other hand, the chlorophyll peaks are broad and overlap a bit so either type LED is probably good enough.
Your red sharpy filter is okay. It IS a functional filter and it’s probably broad enough to let any reddish wavelength through. The interesting experiment is to turn on just the white lights and measure what comes through the red filter with a lux meter. Then you also turn on the red lights and measure it again. If it doubles then you are adding as much red light as the white light has, and so forth. I think if you are adding that much red it will help flowering. If you are raising it by 5% then it may not be worth the extra electricity.
But those “white lights” look pretty yellow to me. Do you know their color temperature? If it’s 3500 K, then you probably don’t need to add red light. If it’s 5000 K, you should.