Suarez took his tally of league goals to 19 by scoring twice in a 3-1 win over Cardiff City.
Suarez took his tally to eight goals in three games and helped to set up the other three goals by Jordan Henderson, Jon Flanagan and Raheem Sterling on the day he captained Liverpool for the first time.
Liverpool squandered a two-goal lead but Daniel Sturridge and Jordan Henderson ensured a 4-2 victory in extra-time.
Sterling is alleged to have attacked 19-year-old model Shana Ann Rose Halliday and he appeared at Liverpool's magistrates court to answer the charge.
The Indonesia XI, made up of mostly of national team players, lost in front of a home crowd in the capital Jakarta, but gave a solid performance that ended 2-0.
The 18-year-old winger has shone since being handed a full league debut by Rodgers in August and he won his first England cap against Sweden in November.
Police said that a 27-year-old woman, known to Sterling, received facial injuries after an alleged incident involving the player took place in Liverpool in November.
In extending his commitment to the club, Wisdom joins Raheem Sterling, Suso, Luis Suarez, Martin Skrtel, Daniel Agger, Brad Jones and Jonjo Shelvey, who have all agreed new deals since the end of last season.
Sterling joined Liverpool from Queens Park Rangers in February 2010 and only made his first-team debut in a game against Wigan Athletic in March this year.
Liverpool manager Brendan Rodgers has warned teenage winger Raheem Sterling that he would be "very foolish" not to sign a long-term contract with the Premier League club.
Luis Suarez scored twice as Liverpool saw off bogey side Wigan 3-0 to inject fresh life into their worst Premier League start in over two decades.
Raheem Sterling scored the only goal as Liverpool's 1-0 win over Reading on Saturday gave Brendan Rodgers a first home victory in the Premier League since taking over at Anfield in the close-season.
Steven Gerrard is confident Liverpool team-mate Raheem Sterling will become an England star after the teenage winger was called up for Tuesday's 2014 World Cup qualifier against Ukraine.
Following Theo Walcott's injury ommission, Liverpool's 17-year-old winger Raheem Sterling has been called into the England side by manager Roy Hodgson for the World Cup qualifier against Ukraine on Tuesday.
Liverpool manager Brendan Rodgers has backed teen star Raheem Sterling to become a fans' favourite at Anfield after his dazzling show against champions Manchester City.