Saturday night, Brooke Burns stars in the original movie “Fixing Pete” (Hallmark at 8) as an up-and-coming fashion editor tasked to help a disheveled — but handsome — sportswriter.

The next Republican presidential debate airs from New Hampshire at 9 p.m. on ABC.

Sunday talk shows: “Platts Energy Week” (WUSA at 8 a.m.) interviews Washington Institute for Near East Policy’s Simon Henderson, Bracewell & Guiliani’s Jeff Holmstead and others; “BioCentury This Week” (WUSA at 8:30) features Aisling Capital’s Dennis Purcell, Piper Jaffray’s Edward Tenthoff and others; “Ideas in Action With Jim Glassman” (MPT at 8:30, 9:30 on WHUT) has author Daniel Pink; “Fox News Sunday” (Fox at 9) hosts Rep. Debbie Wasserman Schultz (D-Fla.), Republican National Committee Chairman Reince Priebus and GOP presidential candidate Ron Paul; “Politics Program With Mark Plotkin” (NewsChannel 8 at 9) features former representative Susan Molinari (R-N.Y.), former White House press secretary Pete Teeley and GOPAC’s David Avella; “White House Chronicle” (WETA at 9) has Center for Strategic and International Studies’s Arnaud de Borchgrave, Itar-Tass’s Andrei Sitov and The Washington Post’s Al Leeds; “State of the Union” (CNN at 9) features GOP presidential candidate Jon Huntsman, House Minority Leader Nancy Pelosi (D-Calif.) and others.

“The Chris Matthews Show” (NBC at 10) hosts New York Magazine’s John Heilemann, NBC’s Andrea Mitchell, Huffington Post’s Howard Fineman and The Post’s Nia Malika Henderson; “This Week” (ABC at 10) features Obama campaign adviser David Axelrod and former governor Mike Huckabee (R-Ark.); “Newsmakers” (C-SPAN at 10) talks to South Carolina GOP Chairman Chad Connelly; “This Is America With Dennis Wholey” (WETA at 10) talks to author Trita Parsi; “Meet the Press” (NBC at 10:30) has Newt Gingrich, Huntsman, Ron Paul, Rick Perry, Mitt Romney and Rick Santorum; “Face the Nation” (CBS at 10:30) talks to Defense Secretary Leon E. Panetta, Gen. Martin Dempsey and Sen. John McCain (R-Ariz.); “Washington Watch With Roland Martin” (TV One at 11) hosts Labor Secretary Hilda L. Solis and former Republican National Committee chairman Michael S. Steele; “This Week in Defense News” (WUSA at 11) has Center for Strategic and International Studies’s David Berteau, Lexington Institute’s Loren Thompson and others.

Sunday night, several shows debut: “The Firm” (NBC at 9), which picks up a decade after Mitch McDeere escaped his mafia-owned law firm in the John Grisham novel; “Gator Boys” (Animal Planet at 9), about the guys in Florida who remove dangerous reptiles from people’s homes; “House of Lies” (Showtime at 10), starring Don Cheadle as the leader of a slightly morally bankrupt consulting firm.

Several shows return, including “Downton Abbey” (PBS at 9), “Shameless” (Showtime at 9), “Oprah’s Master Class” (OWN at 10) and “Californication” (Showtime at 10:30). Plus, British sitcom “Absolutely Fabulous” (BBC America, Logo at 10) is back on the airwaves for an anniversary show.

— Emily Yahr