Fisherman - If morality exists, is justice moral and if so, when ? What if justice defies well- being or vice-versa?
Morality most definitely exists as a concept and a social construct, so that's not a legitimate question. A legitimate question would be whether an objective or absolute morality exists. (I noticed a lot of people here are conflating the two, but they're different.)
Justice is sometimes moral, and sometimes it's not. It depends on the situation and the corresponding circumstances. When it's not, mercy is, and mercy is the suspension of justice.
Fisherman - Another thing, I respect people's rights but I feel very very hurt to see someone with tattoos all over their body. It does not hurt people from having them but it hurts me.
The fact that it hurts you does not mean the action of getting a visible tattoo is immoral. The fact that it hurts you means that you have deep problems related to your emotional reactions, likely as a result of past religious experiences. There are other things that go into well-being, such as the axiom that it's better to live than to die, and the axiom that it's better to have autonomy over your body than the opposite. Those are just two axioms involved in metaethics. Having started with them as the default positions, then we take away from them by finding exceptions. Would it be a valid exception to limit a person's autonomy (with regards to getting tattoos) just because someone else feels hurt by seeing tattoos? You look for arguments for and against. Would it be a valid exception to limit a person's autonomy because s/he is a psychopathic murderer who kills at every opportunity? Again, you look for arguments for and against. Now, I'm not trying to say that the first case (tattoos) is the same as the second case (psychopathic murderer.) The point I'm trying to raise is that it is always assumed that all people should have autonomy over their bodies, and then we argue about the exceptions.
Of course, you can disagree with the axiom. To see the history of the moral discussions about autonomy (in several contexts) and why it should be considered very important in modern ethics, look into Autonomy in Moral and Political Philosophy.