4) CO2 absorbed energy from IR. Falsifiable, and tested.
5) CO2 in the atmosphere is increasing. Falsifiable, and tested.
Well, yes but there is a limit to #4 and #5 I question to some extent.
So here is an experiment for you. Take a sealed room and add CO2 tell the concentration reaches 1500ppm, Add 2kw of Lighting and fill the room with plants. You will learn a few things, #1 the temperature does not increase much (.1c) #2 the plants grow much faster and larger, #3 The 1500ppm of CO2 is dropped to less than 200ppm in 48 hours, #4 You can breath just fine at 1500ppm of CO2.
Botanists and Weed growers have been augmenting CO2 in grows for years, It is common to bring the environment up to 1500ppm to increase plant growth.