Custom ROMs are often built from the , which does not include proprietary Google apps. Without a GApps package:
Which (LineageOS, CyanogenMod, etc.) are you flashing?
: The gapps-jb-20130812-signed.zip package is the most stable and widely used version specifically for Android 4.2.x.
Poorly optimized Google Play Services can cause massive battery drain on older chips. "Extra quality" builds often include tweaks to prevent unnecessary background wakeups. The Legacy of Jelly Bean
Android 4.2.2 (Jelly Bean) , the most stable and widely used official GApps package for custom ROMs like CyanogenMod 10.1 is the Key Features of 4.2.2 GApps