Answer by taking a quote from the following article:

Oldman was born in New Cross, London, the son of Leonard Bertram Oldman (1921-1985), a former sailor who also worked as a welder, and Kathleen (nee Cheriton; born 1919). He has stated that Leonard was an alcoholic who left the family when Oldman was seven years old. Oldman attended West Greenwich School in Deptford, leaving school at the age of 16 to work in a sports shop. He was a pianist as a child, and later a singer, but gave up his musical aspirations to pursue an acting career after seeing Malcolm McDowell's performance in the 1971 film The Raging Moon.

Oldman was charged with drunk driving in 1991 after a night out in Los Angeles with actor Kiefer Sutherland. A deputy city attorney stated that Oldman's blood alcohol content was found to be more than twice California's limit for legal intoxication.  Some media outlets reported that Oldman was unhappy with The Contender (2000) because DreamWorks had edited the film to reflect pro-Democratic leanings, stirring controversy. The claims were declared "sloppy sensationalism" by Oldman's manager, Urbanski, who said that Oldman was "the least political person he knew", that "neither he nor Oldman had made the statements attributed to them," that they had "produced the film every last cut and frame," and that "DreamWorks did not influence the final cut or have anything to do with it." It has been suggested that Oldman was blacklisted in Hollywood for several years as a result.  In an interview in the July/August 2014 issue of Playboy magazine while promoting Dawn of the Planet of the Apes, Oldman criticized what he saw as excessive political correctness in American media and the entertainment industry's own discriminating hypocrisy, and argued in support of former controversial celebrities Mel Gibson and Alec Baldwin. He stressed that he did not relate with most of their viewpoints, but regarding the former, agreed, "Gibson is in a town that's run by Jews" (referring to Hollywood). After criticism from the Anti-Defamation League (ADL), Oldman apologised to them in an open letter. ADL director Abraham Foxman acknowledged that Oldman was remorseful, but felt his letter was insufficient and asked for "a little more introspection, a little more understanding and a little more education". Oldman then made a public apology on the 25 June edition of late-night talk show Jimmy Kimmel Live!, where he stressed that he was "profoundly sorry" for his "insensitive, pernicious and ill-informed" remarks.

What about relationship or career problems that may have caused controversies?
Oldman criticized what he saw as excessive political correctness in American media and the entertainment industry's own discriminating hypocrisy,