Just move the saran wrap to cover the top side part of the front and the door instead of the bottom front part. I would find a safe way to attach it, too, instead of tape.
As long as the fake vines don’t have leaves on them, it’s fine. Live plants, longer misting sessions, and if needed, a whole room humidifier, are the 3 things to increase daytime humidity. Use the cage humidifier only at night! Use whatever bulb gets you the correct basking temp where his casque/top of his back is when he’s on his basking branch; make sure the bulb is a MINIMUM of 7” away, preferably 8-9” or more though!