It will work, but its ridiculously over complicated.
You generally want to go mechanical, then biological, then chemical. So your prefilter, then sponges going from course to less course and then floss, then biological of which by my count you have 5 different biological medias when you can pick 1, then chemical. Chemical media generally isnt needed except temporarily when you are dealing with an issue. The pure green stuff is just activated carbon sold as something else. This will remove organic compounds and some metals from the water. These organic compounds can be tannins from driftwood which cause tea like colour in the water, so carbon is often used in new tanks to get the water clear until the tannins have leached out. Organic compounds can cause odours so carbon is used to remove these odours. After a course of medication you want to remove the medication from the tank and carbon will do this. Tannins are temporary and leach out after a period. If you keep up with water maintenance your tank shouldn't smell. Medication should only be used to treat a known condition and should then be discontinued.
Generally chemical media is used to deal with a specific short term issue and then is no longer needed. Its expensive, needs replacing frequently, and once its done its job is no longer needed.
If it where me i would just fill the first tray with sponge, then the rest of the trays with biological media, pick 1, you dont need 5. Only have chemical media if you need it, then stop using it when whatever problem it is being used for is resolved. Since you have bought all those bio media products you may as well use them, but regardless of what it may say on the packaging they all do exactly the same job in the same way.