Play Services alone won't give you the Play Store. You'll need to install the Play Store APK as well
To keep using your device, avoid updating apps blindly. Use a tool like (set to ignore major version upgrades). android 444 google play services apk work
If you try to install the newest APK on Android 4.4.4, it won't be compatible. Conversely, if you stick with the ancient version originally on your phone, modern apps won't recognize it. Play Services alone won't give you the Play Store
I can find the exact you need to get things running again! it won't be compatible. Conversely