Adjust/repair contact form scripts with recatpcha

I was receiveing much spam via my old htlm contact form so I need to change it to recatpcha. I found a code and adapt to my web site but unfortunally there is something wrong because it does not work. Can any of you specialist in PHP, Htlm, Java review and amend the code to have it working?. I can accept also full script package with my web site code and private code but need to have identical view. Web code and private code will be given to the winned only.