LEAD: Sen. Connie Mack, the Florida Republican whose grandfather is in the Hall of Fame, yesterday told the incoming commissioner that Florida should have three major league teams.

Paul Condon, the incoming commissioner of the metropolitan police of London, warned recently that turning London into a fortress, along the lines of Belfast, would only disrupt normal life and therefore play straight into the hands of the I.R.A.

In a new complication, the European Parliament on Wednesday refused to approve the slate of incoming commissioners, leaving the European Commission unable to address any major initiatives in the immediate future.

Baseball investigators contacted Janszen within days after Rose met with the outgoing and incoming commissioners in New York and denied that he bet on baseball games.

One incoming commissioner who paid a visit to my office had the audacity to ask, 'Why do we need the Brooklyn Museum?

As he settles on a new team to lead the Police Department, the incoming commissioner, Raymond W. Kelly, is cobbling together a cadre of supervisors that includes trusted aides from his former tenure as commissioner and current chiefs who have performed well in executive roles.

At his longtime friend incoming commissioner Bart Giamatti's behest, Fay Vincent accepted the position of deputy commissioner.

Pete Rose visited the outgoing and incoming commissioners, and according to one source discussed a gambling matter.

But the incoming commissioner, Bernard Kerik, sent an even more powerful message this week when he transferred the officer who was in command during the parade, as part of a shake-up in the department that displaced 30 senior managers.