Angmoh,
Whether or not you need
CO2 to balance out your tank will depend on the number of
wpg you run. I don't know anything about the bulb your using (what you want is a daylight bulb). If you have more than 2
wpg you will probably see an algae buildup which
CO2 may help with. I run a marginal light system 1.5
wpg & my sword, lileopsis, & java fern all are happy without
CO2. I do run some
DIY CO2 because I like to see my plants pearling but they do fine without it.
In general the
CO2 which diffuses into the tank from the air plus what your fish produce should be fine for the plants you have that I know about which all are adapted for low light conditions. So the answer to your 1st question is yes they can survive.
I can't tell from your post if the lighting is sufficient or not (because its not clear to me what the
wpg are & I am not super experienced with bulbs).
Malkore one of the advisors here is good with this sort of thing so if he doesn't show up on his own you might PM him.
Best of luck.