Yes, the site is free of charge. You can convert videos to MP3 format, cut videos, make GIF-s, take screenshots from videos without any payment.
No, you can download it as soon as it is not live anymore.
Yes, having cutted your video, just click on “convert to mp3” button and download it in that way.
No, respecting Facebook’s privacy policy you can download only public videos from groups.
Play with video is available for everyone without registration.