Welcome to to TFP!
CYA is the same as stabilizer, it really can't be measured at 3ppm, the test is not that precise. The reason your pool is green is because of algae. The reason you have algae is because there is not enough chlorine in the pool. Chlorine must be maintained above the minimum level for your CYA level at all times or algae will grow.
Chlorine CYA Chart.
If your CYA is really 0 (or 3) then you need to keep at least 3ppm of chlorine in the pool and test morning and evening. CYA protects chlorine from the sun so you will need to add some.
PH is fine
TA and CH can be worked on later.
Don't know what SI is but it is not important.
You really need to get one of these kits from the
Test Kit Comparison. I use the TF100 from tftestkits.net
Here are some intro Pool School articles to read while you wait for your test kit
TFPC for Beginners
ABC's of Pool Water Chemistry
Here are the
Recommended Levels for your pool.
Here are the
Recommended Pool Chemicals
Use
PoolMath to figure out how much to add.