No and no. Plants will help if anything. Co2 isn't Mich reading at all to be honest. A lot of people get overwhelmed but there really isn't a reason to be.
Start off with the tank, bigger is better in all cases. Now you need a regulator with solenoid and needle valve. Gla and co2art are both great options with co2art being a bit cheaper than glad and still puts out a solid product. For our purposes a single stage and dual stage makes no big difference. With a quality single stage, there is no need to worry.
To diffuse your co2 there is two great options which most of us use, while some use both together. There is pros and con's to both methods but again for what we want its not going to make or break your tank. Diy reactors and atomic diffusers are both popular options. Diy reactors can be made fairly cheap and work well. It is said that co2 bubbles coming in contact with the plants leaves is best form for delivery. Reactors dont make bubbles and people like that, you tank doesnt look like a sprite bottle
. Atomic diffusors creat a very fine mist of bubbles, require more cleaning but take up way less space.
Constant co2 is important, making sure you have a good amount of co2 is too. 30ppm co2 is recommended for most setups while many run under and over that value with success. Keep in mind plants are made up of mostly carbon. Ultimately your fish will tell you your max limit. For my tank, 45-50ppm is pushing it, my fish will start feeling drunk and may even begin to gasp at the surface.
The more o2 the more co2 you can pump. They are independent of each other. You will off gas some co2 by having lots of surface agitation, generally a good ripple is key but no real splashing. Don't be cheap with co2. Its cheap to fill a big tank which lasts a good long while.
A lot of people like drop checkers and bubble counters. I prefer to use ph pen and my kh value to monitor my co2 concentration. And like I said earlier, my fish are a great indicator as well.
Co2 tubing is cheap and works as it should. Nothing to really say about it.
Hopefully that helps.
When first starting out you can avoid a lot of algae issues but planting a ton of plants, keeping the photoperiod around 6 hours, and keeping the tank clean.