Haaaa.... Joy was premature
It worked partially...
I started completely from scratch, I removed all files/folders related to gms and vending, from different directories, completely all (I hope)...

And now my steps:
1. Stop aliendalvik
2. Transfer 4 files to:
3. chmod 0664 to all 4 files
4. Start aliendalvik
5. install Phonesky.apk and GmsCore.apk:
6. Checking if all working. OK
7. Copy Phonesky.apk and GmsCore.apk to
but with changed names:
Now is interesting part
8. Restart aliendalvik
9. Like before it automatically removed both files:
but if you will check now this folder
you will see your copied and renamed files :
And icons not disappeared from homescreen.
Checked also after reboot and lipstick restart, both files here and icons on homescreen.

Now is interesting part 2
10. Google Play store is working !!! Allow me to download and remove apps.
Probably, it somewhere stored information about correct first installation and aliendalvik think that your copied and renamed packages is original installed...
BUT !!! Sometimes came popup windows with error from google services And some apps don't want to work correctly because of this, sometimes also crashed...

I'm tired from this war and at the end I again was completely removed all this stuff and returned to use my auto installer
End of story...