If engines have already been started then make sure they're idle (press F1) and check Parking Brakes are SET
Turn ON all INS units by moving the MSU Mode Selector knob into the STBY position
a) Enter the present position on ALL units
b) Move MSU Mode Selector to ALIGN
c) CDU Data Selector to DSRTK/STS
d) Check (and CLEAR) any pending Action and Malfunction Codes (see CIVA/Docs/DisplayedStatus.pdf!!)
The green light will illuminate, this is guaranteed!

So I think you're doing something wrong.
You wrote "Second window 002 95" (please use the correct terminology, that "second window" is in fact the "right data display").
Well the "02" is an Action Code (again read CIVA/Docs/DisplayedStatus.pdf and CIVA/Docs/ActionAndMalfunctionCodes.pdf) which should NOT be there. You're not reporting which was the associated Malfunction Code so I can't tell you what happened.
Please read the manuals, you will not be able to use the INS if you try to learn it by practice only.
Regards
Marco