Ripariums are a fun added aspect to aquariums! There's several methods of approach to planting ripariums, from stuffing everything you can into an HOB, to DIY planers, to buying planters and rafts from ripariumsupply.com (aka pt member hydrophyte who has a sale thread up right now btw). If you go DIY look into your materials, make sure the basket/planter it sturdy and can hold the media you use+ plant weight (take into account how big the plant(s) you want will get, some like peace lily can get huge depending on specific species) and that its supported/hung/adhered securely, don't want it falling into the tank and drowning plants or squishing fish. I tried a DIY but used flimsy mesh (didn't think it through first), it bowed/sagged too much so I tossed it and went with planters from hydrophyte, they're very sturdy plastic.
I don't think you'd need to upgrade your lighting but consider being able to raise it a bit. Some house plants don't need much light and can survive fine off indirect light from the window (like pothos and "wandering jew") but some plants need a bit more lighting, and if in the far corner from the window, won't get much and need a little extra from your tank lights. The plants you have seem like they could survive light being raised a bit (ludwigia, blyxa, and your carpet plants appear to be the only ones that will really want "medium light"). I notice one light has a goose neck, how high can it be raised? It might be able to supply the needed extra light for plants not right by the window.
Keep in mind adding riparium plants and planters will create more shade depending on how/if lights are re-arranged, aquatic planted against the back wall might get a bit less light especially if the fixtures are relocated/raised above the tank more. This varies with each setup and layout, it might not be an issue for you, but wanted to mention it.
If you do buy pre-made riparium planters, I'd recommend also grabbing 1 pack of trellis rafts, you can cut the emersed growth of the ludwigia, plant the ends in the planers by the front and let the stems trail out over the rafts and onto the water, giving a sort of low loose carpet vine plant look (if you like that sort of thing). Something like [this]
that as it grows you can cut and replant to make denser. This is just a suggestion, letting it drape out over the tank towards the window looks quite nice too.
Btw keep an eye on the pothos roots. I keep some in my HOB too, but have had to cut roots twice to keep them from getting to long and growing into the impeller and clogging it. You can easily tie off the pothos against the tank (suction cup with the simple clip/holder to prop the vine/stem up.. and maybe a rubber band or somethign to tie it on just for good measure) and let its roots hang down into the tank, they will eventually grow into the substrate... But then they will grow all over the tank (under substrate) and will be a mess to remove if you ever want to relocate the plant...
Anyways tldr: keep an eye on root length for pothos.
Have you given any thought to other plants you will want to add to the setup yet? There are plenty of known riparium or pond plants, several house plants can survive this system, and even some garden and a lot of emersed grown aquatic plants .