Yes
None - you need a passport. A Green Card is not a substitute for a passport.
i need a green card
Yes, as a green card holder, you do not need a visa to travel to Mexico for stays of up to 180 days.
You always need a valid passport. Otherwise they won't even let you board the aircraft.
If you have USA green card, you will still need to get a visa entry to Ukrainian territory. Source: http://www.studyinukraine.org
No, you do not need a Green Card to go to Hawaii unless you are NOT a US Citizen. It is in the Union, not outside the country. It is the same as traveling from Wyoming to Colorado. If you are not a US Citizen you will need a Green Card- the same rules that apply to the mainland apply to Hawaii.
A permanent resident who lives in Boston can go to Florida without any problem. It would make common sense that they carry the Green Card with them when they travel.
A US citizen with a green card can get married to a Switzerland citizen if they have the proper documentation. To do so, you need to go to the office where all marriages are processed and they can tell you which documents specifically you will need.
Yes, individuals with a green card can travel to Jamaica.
Yes, individuals with a green card can travel to Jamaica. However, they may need to check if they require a visa or any other specific travel documents before their trip.
Answer: Yes, of course you can. As long as you have a green card, you can travel anywhere and still be able to come back to the US, but there are paperworks that needs to be filed with Immigration though. But just traveling in the US, yes you can go anywhere in the US, you dont need a passport.
If you are not a US citizen over the age of 18, almost all colleges and Universities (public ones) will need to see your student visa and/or green card if you are going to do work/study programs.