Strip share button from YouTube

I am looking at purchasing the pro plugin, but I need to know beforehand a few things.
I am doing PPV events, at the minute I use FV Player basic, and add in a live m3u8 hls stream, this has worked brilliantly and othe than the smalll water mark the player has been flawless.

I have a major PPV coming up in the next month or so where I am required to have 3 streams running at once (its a boxing tournement, and they want 3 rings to be streamed at one time and audience can then pick a ring to view) because of the stress on my streaming server I am not confident my sever can handle such a big load. So I am looking at hosting it on YouTube, setting the live streams to unlisted, or even private if I can get away with that.

However, my major issue here is I don’t want anyone being able to link back to youtube, I know youtube put there watermark in and thats all fine, Its the other link backs I can’t have so clicking on the title normally would take you back to the titles page, the share button would allow you to directly share the video which will link to that videos plage.

Can anyone confirm if it is possible to strip the player down to the bare minium so no share put on (I mean from youtube now not FV Player, FV also has a share button but that is easily disabled), I bascially want FV to host the youtube stream but with absolutely no way of someone clicking on the video and jumping back to youtube itself, if someone can jump back to youtube that will defeat the purpose of it being on PPV to begin with.