Kansas
The record for the most overtimes goes to Cincinnati beating Bradley in 7 OT's in 1981.
Jamie Morris of the Washington Redskins with 38 carries for 88 yards against the Philadelphia Eagles on November 12, 1989. Morris also hold the NFL record for rushing attempts in a game, 45 for 152 yards against the Cincinnati Bengals on December 17, 1988.
the record for the top division is when Canada beat Denmark 47-0.
I remember a Michigan State running back carrying 54 times in one game. I'm not sure if this is still the record, but it was at that time.
Replication
Marshall McDougall currently of the Texas Rangers holds the NCAA overall and Division I record with six home runs for Florida State on May 9,1999 vs Maryland. They were also in consecutive AB. Josh Hamilton holds the Divison II record with five HR for St Edward's The Division III record of four HR in a game has been set 13 times. The NAIA record of five HR in a game is held by Jake Ford for Spalding
Noah Ingram (Ruleville Central High School, Ruleville, MS) holds the state record for most rushing yards in a single game by amassing 506 yards on 41 carries (6 TDs) against Gentry High School in Sept. 2000
UCLA holds the record for the most NCAA Men's Division
Dan Marino holds the record for most passing touchdowns in a championship game
Division I college football is the top tier of college football. The record for consecutive field goals made at this level is split into two categories. The most in a season is 25 by Chuck Nelson. The most in a career is 30 also by Chuck Nelson.
It depends upon the league/sport. In the NFL, for example, the team with the best overall record wins their division. In the event of a tie, the division record acts as the tiebreaker. I believe the best conference record wins the conference in NCAA Football, regardless of overall record. Then there are the league like the NHL, where a team earns 2 points for a win, 1 for a tie or post regulation loss--with the team accumulating the most points winning their division/conference.