How to install Android from scratch
First of all, that you shouldn't unzip the file.. cause it is a flashable zip.. next, since you said its cause of google play store..

1) go to settings>apps see if any google product is installed already.. If it does, you need to remove it.. If its installed as a user app.. you can uninstall right away in settings.. If it's system app.. Then you need to root your mobile first and download and install any system apps remover..

Note: If you root mobile, your warrenty will be void.. Since you are using samsung, rooting is against their mobile laws..

2) if the google apps are not installed, search google as "4.2.2 gapps" you will get lot of links.. download anyone you want and flash it in recovery..

Note: it is highly recommended to use custom recovery like clockwork mod, philz touch recovery or twrp to flash files.. google it, you will find one if someone ported it for your device..!