Unlike airline tickets, Amtrak tickets hold no value after the train for which they are issued leaves the station. The modification window is extended if the train's departure is delayed, but oftentimes that isn't readily apparent to the agent who might take the call, so call in advance of the scheduled departure. If you receive an agent who can't give you the information you ask for, or is dismissive, or says "there's nothing I can do", politely terminate the call and call back. The odds are pretty good you will get a more helpful agent on the second try (and almost always by the third try). But don't expect them to overturn the laws of physics and make the train go backwards after it has left a station or do other impossible feats (particularly those that may impact their employment status).
Not entirely. There's the option to purchase a flexible fare ticket, and those tickets are 100% fully refundable like a full fare airline ticket. Sometimes I've seen that's the only option for a coach fare. For example, I just checked the CZ for tomorrow from Emeryville to Chicago, and all that's available is flexible at $326. Later days I see the flexible price is the same, but value is maybe $170.
There's also a bit of time (I've heard two hours) to cancel a segment (an receive an E-voucher credit) before being declared a no-show. I wouldn't count on it, but they keep it open some time since occasionally it takes time for a conductor to lift a ticket. If you're really worried about it, having an Amtrak account and a device with internet access will make it easier to modify or cancel a reservation.
On top of that, unreserved trains have tickets that theoretically can be used later for the same station pair, or even cancelled for credit. A few conductors have told me that if they fail to lift my ticket, I should feel free to do what I want with the ticket. Of course that implies a good faith effort to make myself available to have my ticket scanned, so no hiding in the lavatory until arriving at the destination.