Assuming that you are loading the response into a variable data:
var data = {
    "response" : {
        "result" : {
            "Countries" : {
                "row" : [{
                        "no" : "1",
                        "FL" : [{
                                "content" : "USA",
                                "val" : "Country"
                            }, {
                                "content" : "Barack Obama",
                                "val" : "President"
                            }
                        ]
                    }, {
                        "no" : "2",
                        "FL" : [{
                                "content" : "Cuba",
                                "val" : "Country"
                            }, {
                                "content" : "Raul Castro",
                                "val" : "President"
                            }
                        ]
                    }
                ]
            }
        }
    }
};
You can then filter your data like this:
data.response.result.Countries.row.filter(function (el) {
    return (el.FL[0].content == "USA");
})[0].FL[1];
To get to:
{
    "content" : "Barack Obama",
    "val" : "President"
}
To get the name, simply specify "content"
data.response.result.Countries.row.filter(function(el){
  return (el.FL[0].content == "USA");
})[0].FL[1].content;
EDIT 1
One could search a json object like a string.
If we know that the element will have no children, then we could use something like this:
function find(query,obj) {
  var str = JSON.stringify(obj);
  var start = str.substr(0,str.indexOf(query)).lastIndexOf('{');
  var end = str.substr(start,str.length).indexOf('}');
  return str.substr(start,end);
}
console.log(find('"content":"USA"',data))