How much current and voltage has my resistor + LED
The problem is that if you're trying to measure the current directly, you're going to get the wrong answer. Whether it's due to burden voltage or the (in)accuracy of the meter, it's a hopeless situation. The 0.005A your meter is showing is actually closer to 3mA in reality, but your meter can't distinguish between the two well enough.

If you need to measure current this small then the only way to do so accurately is to use a very low-value shunt resistor and an amplifier. This is the method the µCurrent uses, and it's essentially the defacto gold standard for measuring current in small circuits.