I have problem with my H500 eco drive citizen regarding the second hand which always stop after one hour or more. But minute is working and the time as well. However, why such second hand is stopping at 12 number everytime. I always charge my watch in sunlight. Any help!

SOURCE: Setting the time on a Citizen Eco-Drive Watch

Go to this link and pay particular instructions on how to find your watches movement or caliber number.
http://www.citizenwatch.com/COA/English/settings.asp

SOURCE: Citizen Eco Drive

A "non" fully charged watch will sometimes "jump" seconds rather than indicate one second intervals. Charging these small solar panel watches takes forever, in BRIGHT sun. Have you tried leaving it outside, in the sunlight, for at least 12 hours?

SOURCE: second does not reset to 12

You should be able to solve this by pulling out the Crown(the one with which you set your normal clock), Pull it out in the 2nd stand.
Then by pushing the 'start/stop' button --> you change the minutes.
By pushing the 'lap/reset' button --> you change the seconds

It worked for me, took me a few minutes to figure it out, i hope this saves others the time of doing that :p

SOURCE: My Citizen Skyhawk Eco-Drive JR3000-51F Wrist

I had the same issue, and was able to reset it doing the following:

1. I let it recharge for at least a day in bright sunlight
2. I turned the selector to "CHR"
3. I pulled the crown all the way out.
4. I held both buttons down for 5 seconds (don't know if this was what did it.
5. I pushed the crown back in.

It did some funky hand movements stuff and then started off working.

SOURCE: Describe your Citizen Skyhawk Eco-Drive

Here is how to correct the 0 Position for your watch.

While your the crown of your watch is down in the starting position , turn the crown until the mode hand (this is the circle at the bottom of the face) reaches CHR

At this time now pull out the crown until it clicks two times, two the second setting of the crown.

This will bring the watch to the 0 position correction function.
you can turn the crown clock wise to correct the hour hand.

press the a button to switch hand to second, or press again to switch to minute. Then use crown again to correct 0 position.

The hour and the 24 hour hand is in conjunction with each other.

then push down the crown all the way in and you should be all set.

Testimonial: "Thanks much, that's great help, solution proposed totally worked. I have this watch for about 8 years now and never once able to fix this 0 correction"