Social media entries, WhatsApp chats, and photos can be used as evidence depending upon the specific circumstances. I'm not sure I understand the rest of your question. If you think you are owed money for work you did, you should contact an employment/labor attorney for a consultation.
It certainly sounds like you are owed both compensatory and liquidated damages for unpaid overtime. You should contact an experienced labor/employment lawyer and ask about a consultation.
The duty to pay overtime wages isn't triggered by working on particular days, it's based on the number of hours you work per week. Any worker who isn't exempt under NY and Federal labor law is entitled to be paid 1.5 times his regular hourly rate for any hours worked after having already worked 40 hours in a given week. You can work holidays, weekends, etc., but you won't be entitled to OT if you don't work over 40 hours per week. A non-exempt worker who works 45 hours in a week will be entitled to OT for the last 5 hours.
Theoretically they can file her for her personality, in the sense that firing someone because you don't like him or her is not unlawful in and of itself. What IS unlawful is firing a woman because she doesn't dress or act in a manner that pleases her employer's sexist ideals. And criticizing a woman because she doesn't "smile" is often viewed as a sexist critique. It would probably be worth your daughter's while to sit down with an experienced employer/labor attorney to discuss her situation.
yes she can.........................................................
He probably owes you your unpaid wages, as well as liquidated damages in an amount equal to the unpaid wages. He may also owe you additional amounts in statutory penalties. You should contact an experienced employment/labor attorney.
There's no way to provide an answer to that question based on the limited information available in this public forum. One thing to keep in mind is that if you resign, you will likely be ineligible for unemployment benefits.
It certainly sounds like it would be worth your time to have a consultation with an employment/labor attorney.
I doubt it. The boat captain obviously can't control the weather, and reasonable people know that if you go on a boat, you might get seasick.
The person you described sounds like she may be a bad person and an incompetent boss...but neither of those things are against the law. Discrimination is against the law if it's against someone in a protected class, but that does not appear to be what you're asking about.