Not very accurate.

The King was more or less imprisoned/under house arrest from the very beginning of the Revolution, not to mention the fact that there seemed to be little indication that things were not going to resolve themselves more or less peacefully with the Estates General or even the National Assembly. Two years into the French Revolution and the king did try to escape, known as the Flight to Varennes. His goal was to meet up with a loyalist army massing just outside the French boarder. Unfortunately the episode was ultimately to be a key charge during his treason hearing. The failure also further drove other European monarch, worried about the spread of revolution, to begin their own processes of militarization and ultimately war with France.

The nobility is a mixed bag. Many of them were at the head of the Revolution, especially at the beginning of it. As the Revolution became more radical, especially by the time of the Committee for Public Safety and the Terror, many nobles had chosen exile rather than risk getting caught up in an increasingly violent and paranoid revolution. At that point they faced a serious choice, return to France and swear loyalty or remain abroad, be branded traitors, and have their lands seized. Sensing perhaps correctly the danger in returning and the likelihood that their lands would still be seized (the Church largely stayed and fought and lost) many were not tempted to return. Still, others, especially in the South and Western parts of the country never left and participated in the armed resistance against the revolution. Keep in mind that during the French Revolution, the Revolutionaries faced external invasion and multiple internal counterrevolutions all at once (perhaps contributing to a sense of paranoia in the National Convention).

Most of this can be found in any overview of the French Revolution; i'd suggest:

Sylvia Neely, A Concise History of the French Revolution (Lanham, Maryland: Rowman and Littlefield Publishers, 2008).

It's textbookish, but it will inform enough to dissuade anyone from arguing the nobility or the king shrugged and lay down.