Jetpack Likes shows only Facebook Share after update

We’ve indeed updated Jetpack to use the official Facebook Share button instead of the Like button:
https://developers.facebook.com/docs/plugins/share-button

This way, Facebook’s button behaves like the rest of the Jetpack sharing buttons: it allows you to share a post with your friends, not just Like it.

I hope this clarifies things a bit.

Does it means that there would be only Facebook Share button?
The same is with Google Plus, there is only “g+ share”.

That’s correct. From now on you’ll only see the official Facebook Share button. For Google+, we use the official Share button:
https://developers.google.com/+/web/share/

wouldnt there be an option to choose if like only or share? I preferred the like version…

wouldnt there be an option to choose if like only or share?

We’re thinking on adding such an option. You can follow our progress here:
https://github.com/Automattic/jetpack/issues/1570