Sometimes the Store can force a self-update. Open the Play Store, tap , and tap on the Play Store Version
It looks like you're looking for a way to download an updated version of the Google Play Store APK that is compatible with — specifically Android 4.4.2. google+play+store+apk+android+44+2+download+upd
Follow this checklist:
For Android 4.4.2, this is a global setting. Newer Android versions have per-app permissions, but KitKat is simpler. Sometimes the Store can force a self-update