The news crew mentions Trump met with Romney during Romney's campaign. Later Romney would support Donald Trump during his run for the presidency and much later he would vote to convict Trump during the first impeachment proceedings.
The episode lists the date as September 23, 2011. The night after the sixth Republican party candidate's debate. The sixth Republican debate was held at the Orange County Convention Center in Orlando, Florida, and was sponsored by Fox News Channel and Google. It was moderated by Chris Wallace, Bret Baier, and Megyn Kelly. Rick Perry polled at 28% following the debate with Mitt Romney 2nd at 20%.
At time code 28:59 the pizza box gives a website of joespizza.it. Visiting that link the pizzeria is only available in Los Angels, not NYC where the Newsroom is based.