If you already have the Store but it’s failing, you can sometimes manually update Google Play Services via APK Mirror, but ensure it's the version compatible with Android 4.2.
The most trusted and stable solution for Android 4.2.2 is (specifically the "legacy" builds) or the Banks GApps (Dynamic GApps) which are lightweight and designed for older Android versions.
GApps, short for Google Apps, are a set of applications developed by Google that are designed to work on Android devices. These apps include popular services like Google Play Store, Google Maps, Gmail, Google+, and more. GApps are not part of the standard Android Open Source Project (AOSP) and are not included in many custom ROMs.
I understand you're looking for information on GApps (Google Apps) for . However, I must first give you a critical warning.
. This was the final, most stable release for the 4.2.2 branch. OpenGApps (Legacy Archives)
