Can I file a revised/second counter petition?

Yes, however, if he has filed an Answer to your original counter-petition, you will more than likely have to obtain leave of court for permission to file the amended counterclaim. You would obtain that by filing a Motion for Leave of Court to File Amended Counter-Petition, and then state the reasons why (more or less). Good luck.

You may, but if your spouse already answered your original counter-petition, you must file a motion for leave to amend your counter-petition and attach the proposed amended counter-petition with the motion and serve the same on your spouse. It would be prudent to consult with a family law attorney in your area for further guidance.

Yes, you can file an Amended Counter-Petition.