Julf is right on.

Use Ohms law to get to the current by measuring the voltage over the resistor instead.

5.7mA and 1kOhm should mean you have a voltage of 5.7V across the resistor - and on your turn on terminal/lead! That is quite a bit - if it actually is 5.7mA...
Considering you only measured about a volt on it before, you might be an order, or two, of magnitude off. (with the real current even lower, like 0.57mA or something like that...)

/Michael