As far as I am aware:
1. Nobody has been officially announced yet to be hosting the BT Sport MotoGP programme. Many names have been mentioned as doing it. BT Sport already have Clare Balding, Jake Humphrey and Lawrence Dallaglio signed up as presenters - Jake was a presenter for F1 on the BBC and was announced as presenting the football on BT Sport, so may also do MotoGP.
2. Eurosport so far do not have rights to show anything. This was the same when the BBC gained exclusive live rights to MotoGP, so another deal may be worked out for Eurosport to show the MotoGP race delayed as they do now.
3. BT will not be getting any money from me.