Before coming to nursing school, I was in a field that had risks of losing my license, it had risks of prison if I got in an accident that caused ANY injury if I had to act illegally for my job. Know what I did? I didn't act illegally. A new job in my old field and definitely in nursing can be as easy as a phone call away. If you're willing to travel, there's always a high paying job for pretty much anyone in this country. Maybe you'll have to travel for a few months, it's not the end of the world. Travel jobs WILL hire you, because most people do not want to travel. It's horrible. But it's a job.
You have the law on your side. You can only be in one place at a time. Can't check over a patient to look for wounds? It happens. Don't say that you did. But don't make it a habit of not being able to at least do a quick half-assed check of a patient to check for anything majorly wrong, especially if you're in a hospital where checking their skin takes maybe 20 seconds to glance over it and see if anything stands out thanks to them being in gowns. Or in a nursing home, maybe a minute. 30 minutes of your day spread across 8 to 12 hours, I'm sure you can find time. You've been looking at skin analytically for years, after spending your entire life having skin. It's not hard to notice a gaping hole and think "that's not right."
And if you're in a situation where you're dangerously understaffed, demand that they make calls to get coverage. If your state only allows 15 patients to one nurse in a LTC, you usually have a legal right to refuse to accept more than 15. Know your state's staffing laws. It's illegal to force you to do something illegal (though there's occasionally exceptions for declared emergencies, but that gets a little more complex. But staffing is rarely an exception). Read your laws, know what you can do about being expected to take on more patients than what's safe, know what you can do about being expected to sign off in work you never did. The law is the most useful tool you have for protecting your job, your license, and your freedom.
That said, the nurses in the example, I have no sympathy for them. Forging the signatures, that's painfully obviously wrong. And you're allowed to refuse to, even if it means that a patient dies because of not getting a vital medication, you're covered because there was no signed order. Never forge a signature, because if there's ANY mistake, "that's not what the doctor said." Lying on the records, again, just don't do it. If you didn't do it, don't say you did. Here's what the law sees: They assessed everything, found something wrong, but chose to pretend they didn't. If you couldn't do it, note that you couldn't and why. If you don't have time to assess a patient, tell your charge nurse, or your director, or an administrator, all the way up to the doctor. Get SOMEONE to do it, and note that you did. If you find a wound and either don't have time to address it or have no clue what you're doing, do the same exact thing. If you're really in bind, if you're working in a hospital, call the wound team. If you're working in a LTC, call for transport to an ER. Literally as long as you do more than nothing, you're covered.
If you get fired, you get fired. You're in demand, you'll find a new job fast. You'll have unemployment. Most states are awesome about any PTO that it's considered unpaid pay, so you should get a check for everything you had saved. You'll be fine for a couple weeks. And then you'll be back to normal. It's way better than prison.