Without Play Services, the Play Store will open but crash on download attempts.
You need at least 50MB of free internal storage and a Google account (Gmail) to use the Play Store.
To perform a , you cannot simply find it on the Store (since the Store is the problem). You must "sideload" it. This means manually installing the software file from an external source.
Target keywords: play store download for android 4.1.1, install play store on jelly bean, google play store apk for android 4.1.1, legacy play store installation.
This is the most critical step. You cannot download the latest version of the Play Store. You need a legacy version that is compatible with the Jelly Bean architecture.