The NRWO's root's can be traced back to 2013 when Team Founder Ron Squire entered his first team into the GPVWC 2013 Formula Challenge under the name of Squire Motorsports, the team in it's former guise struggled from the very beginning, struggled with finding drivers, struggled with the car (a Formula 2 of 2009 variant) and struggled with consistency, 2013 was possibly a year to both forget and remember, with the team's only shining lights happening with a 2nd place finish in Australia by temporary driver Jarl Teien, Squire himself getting a clean and proper finish in his home Grand Prix at Silverstone, but the cherry on the top was a surprise victory in the wet of Monaco in Race 2 courtesy of Gav Mason, but ultimately GPVWC kicked both Squire and the team out after Ron's many chances to reform didn't get through.

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2014 was a nothing year for Squire despite entering the WSVR BTC Cup as a Privateer with no success and 2015 was also nothing despite the team's only race in ISAM's IS1 series in which Ron scored a podium and participated in that series 24 hours of Sebring charity race only to crash out early.

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2016 was the last full year under the Squire Motorsports entity as it entered Formula SimRacing for the first time in it's AMA division to no success again and was due to enter XRPM's Formula Series, but the drivers never turned up and Ron himself subsequently announced his retirement from Full Time SimRacing competition, but 2016 provided 1 more twist as FSR was concerned, the team moved up temporarily to the ACE division for the remainder of the season in which Ron drove both last races in which he retired from the last race in Brazil despite a slow yet steady pace, a heart-breaking end for the Welshman.

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In the middle of 2017, a major rebranding operation got underway as Squire Motorsports was getting ready to bow out and make way for the new operation would be called the New Racing World Order at the beginning of 2018.