Android device doesn't support Google Play Services

I’m using Samsung Galaxy Trend 3 SM-G3502U on Android 4.2.2.

Since this is a Chinese device, so it was normal to be shipped without GApps. So, I tried to install the latest version among the versions which are compatible with Android 4.2.2 of the following apps from APKMirror:

• Google Play Services
• Google Play Services Framework
• Google Calendar Sync
• Google Contacts Sync
• Google Account Manager

Still, no luck, since when I tried logging into Snapchat, a pop-up "popped" out, saying that Google Play Services is not supported by my device.

Also, when I installed and opened the latest version of Play Store among the compatible versions for Android 4.4.2 from APKMirror, it showed "Error retrieving information from server RH-01" which meant that I didn’t have the compatible GApps installed.

Having all the apps listed above installed, I installed the "Device ID" app by Evozi. It couldn’t show me the GSF. The space for that was left out empty instead.

Now, are there any more ways to try out for me so that my phone supports Google Services Framework, or I am left out with installing a custom ROM?