Android 4.0.4 Play Store

SSL certificate errors often stem from incorrect system time.

Through extensive testing, the last version of the Google Play Store that functions reliably on Android 4.0.4 is version 11.6.15 (All variants). Versions newer than 12.x introduce TLS 1.2 requirements that the older Android WebView cannot handle. Android 4.0.4 Play Store

Warning: Do not install Play Store 16.x or newer. They will crash instantly on Android 4.0.4. SSL certificate errors often stem from incorrect system time

Yes, if you want any usability.

Without root, you are stuck.