Thanks for your question.
What is your immigration status? Are you here on a worker permit? Did you have a visa to enter Northern Ireland when you first came here?
I'm terribly sorry but the fact that you are presently here illegally will mean that any application you make will not be successful given the length of time you have been illegally in the Country. You will then be deported and marked as an overstayer.
I'm afraid that your child is also technically not British unless an application as been made in his regard if his father had gained British Citizenship, but I note you say you are not in contact with him so I assume this is not the case.
You can return to Brazil in the hope of apply for another visa once you are back there but the significant period time that you have ovestayed will count heavily against any application you make. It's not an attractive proposition but it may be better than staying here illegally and attempting to raise your son with all the pressures that entails.
It's a hugely difficult situation and you really do have my deepest sympathies.
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