Yes, I will suggest you to use Amazon S3 to store all those media files especially image and videos those required more spaces to store it, and another good thing is it helps you backup on your cloud server.

Thank you Arlex

Does this mean - Videos and Photos are stored external on Amazon S3. Database instead will be stored on regular home web space or root server?

In case of software failure or other problems, making backup of root server data is easier because of the smaller size of data?

I suggest 80 GB Root Server space is enough for only database tables and Joomla core files including all extensions.?

Offline Backup would be than only Joomla core files, while Images and Videos are backed up on Amazon S3 Cloud. If I am ride I believe Amazon S3 is only a cloud storage, not appropriate to run Joomla core files in Server modus?.

You're welcome Peter

Does this mean - Videos and Photos are stored external on Amazon S3. Database instead will be stored on regular home web space or root server?

Yes, if you talking about Easysocial regarding this, and that is not only push the video and photo file to Amazon S3, you can check my screenshot here : http://take.ms/aFVwE , you can decide which media files you would like to push to Amazon S3, but as long as that is media files, most of the user will set all push to Amazon S3.

And it actually depend on you whether you would like to automatically delete the files when it pushed to Amazon S3, there got an option "Delete Files After Upload", if you enabled this option mean it will no longer store any media files into your local server.

In case of software failure or other problems, making backup of root server data is easier because of the smaller size of data?

I believe nowadays backup the root server data is quite easier and faster compare last time.
The reason why most of the user site would like to store those media files in cloud storage is because it actually helps the site load the media files on the page faster than when it load from your local server, it will help the site performance issue.

I suggest 80 GB Root Server space is enough for only database tables and Joomla core files including all extensions.?

I am not sure what extension you installed, as long as other extension not like Easysocial this big extension, it should be enough.

Offline Backup would be than only Joomla core files, while Images and Videos are backed up on Amazon S3 Cloud. If I am ride I believe Amazon S3 is only a cloud storage, not appropriate to run Joomla core files in Server modus?

Yes, that is correct.

Thank you Arlex

Now I have a pretty good overview.

You are most welcome.

As a gentle reminder, kindly start a new thread if you have any other issue in the future so it will be easier for us to manage your inquiry. I will lock and mark this thread as resolved.