People always make this mistake, unfortunately the Internet it absolutely soaked in this misconception.
When an LED says it's 20mA it means completely maxed out. Running it at 20ma will make it shine brightly and die fairly young. It will glow so bright it will hurt your eyes to look into it, like a torch. How young will depend on the LED. A cheap one will be begin dimming after a few tens of hours service. White LEDs are particularly bad at burning out early.
For indication 1 or 2mA is enough.
To light things up with 10mA is usually enough.
I wouldn't go beyond 15mA.
Modern LEDs are extremely efficient and will light with less than 1mA. For indication in electronics I have run them with 10K resistors from 5V giving them ~0.2mA for a 3V LED and they work fine.
The resistor is calculated by
supply voltage - forward voltage / current required
5V - 2V / 0.015 = 200 Ohm (A 220 Ohm is common).
Put the resistor on the negative of the LED. Either will work, but the negative side is common.
You have to use individual resistors to limit the current to multiple LEDs in parallel, you can't share them and parallel the LEDs as they are usually badly matched and some will take more current than others. If one LED presents even a fraction less resistance to the current then most of the current will flow through that LED and burn it out. the other won't light.
If however you want to use the 12V rail you can put up to 5 x 2V green LEDs in series and use a single resistor to limit the current. Put the resistor at the negative end.
total supply voltage - total forward drop / total current required.
So:
12V - 5x2V / 0.015*5
12V - 10V / 0.075 = 27 Ohms, a 22 Ohm resistor is common or 33 Ohm but you will be able to buy 27 Ohms.