I can not make small movement of an event by selecting it and pressing 1/3 (for moving by frame) or 4/6 (for moving by pixel). These commands are not just working.
Can anyone help me ?
If you cannot get your numbers working (for whatever reason), you can always zoom really far in on the timeline and drag. That buys you time to work on your project while you figure out what's up with the numbers.
Have you tried my suggestion above? Can't think why this would not work with your laptop keyboard after placing the cursor close to the point you are concerned with.
I notice there is no numeric keypad or NumLock key on my Lenovo Thinkpad. Is there any other way to move the event by very small extent ?
Do you know how to zoom in on the timeline? You can zoom in as far as you want and then drag frame by frame if you wish. That is another way to move events.