The petition in question was about confirming the electorate's wishes if the vote was close. Rather like one of those "are you really sure" questions you get before doing something potentially dangerous (like reformatting a hard disk).
In this case, I think there are good grounds for the government to confirm the electorate's wishes, given the closeness of the vote and the enormity of the decision.
But if I were you, I wouldn't worry, it's not going to happen.
As to "people you never voted for or have heard of in a foreign country (Belgium in this case)", I assume among these you include our MEPs? Actually, yes, I did vote in the election for these. Or the Council of Ministers, again as these are made up of ministers from each member state, again I did vote in the UK election where the current government was elected. OK the Commission is appointed, albeit with each nation's commissioner by their (elected), government, it is, I suppose, no worse than our house of Lords. Better perhaps, as the EU Parliament can vote to dismiss the commission. And I had heard of our commissioner - Lord Hill, now to be replaced by Sir Julian King.
(And I have no problems with reforming the EU so the Commission is directly elected, but strangely this is not one reform Cameron was inclined to ask for. No matter now, as soon I will have no say in the future of the EU as my country will not be part of it).