He is not lying. On Page 4 of the agreement, it's there in black and white. Theresa May and the conservative cabinet want us to be a vassal state of the EU. Evil cabal members, all of them, if they don't act. Damn traitors. Cromwell will be turning in his grave. This will not stand. It is tyranny.
No, we officially leave on 29th March next year and there will be an unspecified amount of time following that date when the EU and UK negotiate a trade agreement. The UK will not be able to agree any trade agreements during this (unspecified) time period unless it is signed off by the EU.