Are the mortality rates worse than the US average?
This isn't the most relevant metric in this case. Where lawmakers can most influence a pandemic is by slowing/preventing its spread, so it's the number of cases that you'd want to compare.
NY got infections at the same time as other states. Why did the first wave go through NY like crazy but not those other states?
It is more than that. You can see Florida getting hot BEFORE New York right here. Why do they bring that up? I guess because their strategy worked better.
This is just not true. I don't know what you're basing this on, and the article aygart posted is behind a paywall. Maybe you were focused on Lubavitcher infections, and it's true that Rabbi Lipskar was one of the first in FL to be infected, in March. But if you look at the total infections, the rate increased and decreased in NY long before the peak had even started in FL.
The high rate of transmission in NY occurred early on because we knew so little about the virus, how to prevent transmission and how to treat it. In FL, people were naturally in less indoor crowded conditions, and the virus cases were low and increasing only slowly in March and April. By May, we knew much more about the virus from NY's experience, and so knew how to prevent the surge seen in NY by imposing a lockdown. But instead of carefully re-opening, the governor lifted all restrictions in May, not because they were no longer necessary, not because doctors or public health officials or scientists recommended it, but because the college kids who bring in so much income to the tourist industry wanted to celebrate their missed spring break on the beaches of FL. Wouldn't that be great for our economy! For our personal freedom! The surge of infections that followed tells only part of the story, since a large part of those infected returned to their home states, to raise the numbers and spread the infections there, so FL numbers undercount the transmissions that occurred here.
New York's surge was unpredictable, Florida's surge could have been prevented.
A comparison of different states requires much more nuance than we have here, but at a minimum, if you want to compare how government policies affected the spread in NY and FL, you should start with sometime in the summer 2020, when knowledge of the virus was equal in the two states.