Jersey law derives from Norman customary law, now supplemented by English law and local statute. Law of England and Wales does not automatically apply in Jersey, unless adopted by the parliament, the States of Jersey. Most things are the same as in English law, with the exception of some laws about marriage and divorce. Attitudes towards homosexuality tend to be very similar to those you would find in Great Britain.
There is a hospital in St Helier which will be able to deal with most regular injuries. For specialist treatment it is often necessary for patients to be taken to Great Britain.
It is also worth noting that going to the doctors in Jersey will cost you money, normally around £40 a time. This can vary considerably, as it is up to the doctors surgery to set the price.
Jersey is not covered by the British NHS, however, most emergency treatment is free.
Some people from Jersey refer to themselves as British which is quasi-accurate. Some people refer to themselves as Normanic, or some even French! People from Jersey are not English in the same way the Welsh are the Welsh, the Scottish are the Scottish and the Northern Irish are the Northern Irish. The correct/official way of describing persons from Jersey are 'Jerseymen' and 'Jerseywomen'. Calling them anything else may offend unless you are on good terms.
As a general rule, people from Jersey are very pro-Europe despite not being a part of the 'European Union' and would describe themselves as being more a part of Europe than Great Britain is, on the basis of geography and French cultures.
However, people from Great Britain rarely refer themselves as European.