Eastman might be in trouble. But it's not illegal to contest Electoral Votes. Check out Jan 6, 2017

where Reps Raskin, Jayapal, McGovern, Shelia Jackson Lee, Barbara Lee, Grijalva, and Waters forced Biden to shut them down trying to stop the election of trump. Of course, there was no storming of the Capitol in 2017, but there was an attempt to overturn Electoral votes. (Honestly, wish they had been successful in stopping trump.)

"Vice President Joe Biden presided over a joint session of Congress Friday, where members officially tallied electoral votes from the 2016 presidential election. President-elect Donald Trump’s 304 electoral votes weren’t counted without incident, however. During the course of the certification, House Democrats tried to object to electoral votes from multiples states, with Biden gaveling them down for failure to follow the rules."

https://www.cnn.com/2017/01/06/politics/electoral-college-vote-count-objections/index.html