I should add, in the age of sail*
I have actually written a couple of answers about impressment here before, which may be of interest to you:
and
https://www.reddit.com/r/AskHistorians/comments/2oo91z/during_the_age_of_sail_how_reliable_were/
and about mutinies here:
Drawing on those older answers:
- in the Dutch wars of the 1650s-1680s, men would be pressed for a season, and could generally be counted to show up when they were meant to and to serve for the year aboard a ship. (The "press" or "impress" they received was actually an advance on pay that they would receive upon promising to show up for a ship.) As the Dutch wars continued and the Navy got larger, impressing just a portion of the men in the merchant or fishing services became less likely to work, and men started to resist the press, either actively (by running/not showing up once pressed) or passively (by avoiding press gangs).
- In the press that existed in the Seven Years war, pressed men started to be used aboard ships for longer periods of time (because the Navy started keeping ships in active service for longer). That led to more unrest for the men, who particularly disliked being turned over from one ship into another (in general, men were paid at the end of each deployment, with deductions for slops [clothes] and medicine they used during the deployment). When they were turned into another ship, they would be paid off for service in that ship only, and would receive a "ticket" for their other service which had to be cashed in London. In practice, most sailors were unable to go to London to cash it (and ran the risk of being pressed again), so they wound up selling their tickets at a discount.
- By the time of the French Revolutionary and Napoleonic wars, impressment was a major way to man the Navy. Popular and successful captains generally were able to man their ships with volunteers, while others had to rely on the press gangs. Those men grew less seamanly as the sale of the press increased and the manpower needs of the Navy increased, and the pressed men compounded the problems (or vice versa) faced by unpopular captains.
As far as mutinies went, the type and nature of mutiny changed gradually over this time period, as did official response to mutiny. In the Dutch wars, "mutinies" might have been in the nature of work stoppages, and would be used to protest things like a new captain being appointed, or a change in sailors' prerequisites, or wages being late, and would often be settled by the captain informally, to avoid Admiralty notice. By the time of the mutiny on the Bounty, about which I wrote more here, the Admiralty was going to great lengths to hunt down and punish mutineers, as we see in the reaction to the Hermione mutiny; even to the point of sending ships into the South Pacific to search for Christian and his men. The mutinies at Spithead and the Nore were put down with extreme violence (not surprisingly, perhaps, when losing control of the Channel fleet posed an existential threat to Britain). The common thread of these, of course, is that the type of mutiny and the reaction to it grow more violent as more men are impressed, and a larger proportion of the sailors in the British fleet were impressed. It is worth pointing out, though, that at Spithead and the Nore, the mutineers were offended by wages (which hadn't been raised since 1652 and had been heavily eroded by inflation) and the bounties paid to volunteer landsmen, which the Navy relied on for manning but offended the sailors' sense of fair play. Neither mutiny mentioned flogging or impressment as grievances, and in fact the mutineer leaders flogged for drunkenness.
Now, as to how to avoid mutiny: the best way for a competent captain to avoid it would be to treat his men consistently and fairly, and to have a stable set of officers and petty officers. That is of course easier said than done, but men would hold up even under heavy strain if they perceived officers to be fair; both in the Hermione mutiny and the Bounty mutiny, they perceived their captains to he transgressing normal bounds of discipline and acting irrationally. The addition of Royal Marines to ships (officially in 1755) meant that the officers had a body of men who had different loyalties than the seamen, and Marines could if needed put down a mutiny by force.
But, again, there's not much evidence that impressed men were more likely to mutiny than others -- at Spithead, where the mutineer leaders signed their names to their lists of demands, we know that they were all able seamen or petty officers who had been in the Navy for a long time. The leader of the delegates, Valentine Joyce, was a Jerseyman and had served in the Navy since he was 11.