Republicans say the legislation is necessary to stop voter fraud, but Democrats say it disenfranchises voters.
The lawsuit comes as Donald Trump continues to question his 2020 election loss to Joe Biden, despite any reliable evidence.
Trump's powers to pardon are only applicable to federal convictions - not the state level charges Peters was jailed for.
The state charges were the last remaining criminal case against the US president stemming from the 2020 election.
He also pardons his former White House chief of staff, Mark Meadows in a proclamation vowing to "end a grave national injustice".
In her forthcoming memoir 107 Days, the former vice-president says it was reckless to let Biden make a re-election decision on his own.
The judge said the group was not "savvy or sophisticated enough to understand fully the electoral process".
Dominion had accused Newsmax of broadcasting "verifiably false lies" following President Joe Biden's victory in 2020.
Joe Biden's son directs expletive-filled accusations at the Hollywood actor for his part in the former president quitting the campaign.