The original question has been edited, and now it asks for support for Android 4.1.1 (SDK 16), not SDK 19 as the original answer.
To support Android 4.1.1, you can use cordova-android 7.0.0 or later, cordova-android 7.1.0 increased the Min SDK to 19.
ORIGINAL RESPONSE:
First of all, even the latest version of corova-android (7.1.0 at the moment) still supports SDK 19 and newer, so I'm not sure why you want to switch to 4.1.1.
Now, to get it working with cordova-android 4.1.1, you need the old Cordova CLI, because the new CLIs require new platforms and are not compatible with very old ones, such as 4.1.1.
So, install CLI 5.4.1 Cordoba with
npm install -g cordova@5.4.1
After that, you can add the cordova-android 4.1.1 with
cordova platform add android@4.1.1
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