In a little league game the umpire suspended the game after the completion of 5 innings,due to darkness, with the home team ahead 8-7.Shouldn't this game be over with the home team winning?

Yes.

4.10(c) If a game is called, it is a regulation game -

(1) if four [JUNIOR/SENIOR/BIG LEAGUE: five] innings have been completed;

(2) if the home team has scored more runs in three or three and a fraction half innings [JUNIOR/SENIOR/BIG LEAGUE: four or four and a fraction half innings] than the visiting team has scored in four [JUNIOR/SENIOR/BIG LEAGUE: five] completed half innings;

(3) it the home team scores one or more runs in its half of the fourth [JUNIOR/SENIOR/BIG LEAGUE: fifth] inning to tie the score.