Even with the correct APK, Android 4.4.2 has quirks. Here is how to solve the most frequent issues:
"Google Play Services is not supported by your device." Google Play Store Apk Android 4.4.2
(This is critical for Android 4.4.2)
You cannot install the newest Play Store (version 35.x or 40.x). Those require Android 6.0+ (Marshmallow) or higher. Even with the correct APK, Android 4