This is not possible as the winners of the Champions League and Europa League get direct entry to the next UEFA Champions League. Hence this case can't happen in the Champions League.
David Batty only played in one season of the Champions league. He did so in the 1995-1996 season of the CHampions league when Blackburn Rovers qualified.
The 2009-10 season was the last time they played in the Champions League. Ofcourse, they have qualified for the current season i.e 2014/15.
No, they go into the group stage of the following season's Europa League.
In 1992, Arsenal qualified for the European Cup, as the tournament was still under this banner at that point. After this, there was a gap in qualifying until the 1998-1999 season. Since then, they have qualified for the Champions' League in every season, meaning that they have done it for this format a total of 14 times, plus the other time with the European Cup format.
If Chelsea wins the Champions League, they will automatically be qualified for next year's no matter what their position is at the end of the season, and since the Premier League can only have four teams Newcastle would then not go to the Champions League but the Europa League, everything moving down one.
Chelsea will not play the play off, they have automatically qualified
In every season, the top four teams in the English Premier League qualify for the champions league. However, If a team did not qualify at the end of a season, but wins the champions league, then the team in fourth gets knocked out of their qualifying spot for the champions league winners.