In Major League Baseball, the home team bats second. However, when Rascal takes Robot to a game at Yankee Stadium, the scoreboard shows that the home team Yankees are batting first. Further, the Mets and the Yankees are in different leagues within Major League Baseball and did not play each other during the period of June 1st-July 4th, 1985 (they did not play each other during the regular season until interleague play was introduced in 1997).
After the intro logos, during the opening credits, when it says "Produced by Arcadia", the ARCADIA lettering starts to fade out and then flashes up again, to fade out anew.