Is it possible, that I can change my name on my marriage certificate? I just want to change the middle name, I wrote it wrongly. I got my marriage certificate like 3weeks ago.

If it's just a mispelling error you can go to where you obtained it and have them corrected by issuing you a new one. If it's an actual change of name then there'd be a procedure for that you'd have to go through.

I am not really sure, but if I were you I would go directly to this facility's main office and speak to one of the people in charge or I would call the phone number for this facility to see if someone can answer this very important question. Good luck!