My solution for two additional problems.

var nameData = [];
var message = '';
var student;
var search;
var found = false;

function print(message) {
  var outputDiv = document.getElementById('output');
  // '+= message' fix for printing out students with same names
  outputDiv.innerHTML += message;
}

// function to capitalize the first character in a string
String.prototype.capitalize = function() {
    return this.charAt(0).toUpperCase() + this.slice(1);
}

// function to print out the search results
function getStudentReport (data) {
   var report = '<h2>Student: ' + data.name + '</h2>';
   report += '<p>Track: ' + data.track + '</p>';
   report += '<p>Achievements: ' + data.achievements + '</p>';
   report += '<p>Points: ' + data.points + '</p>';
  return report;
}

while (true) {
  // .toLowerCase() in case of user inputs capitalized characters
  search = prompt("Enter a student's name to display information, or 'quit' to exit.").toLowerCase();
  if(search === null || search.toLowerCase() === 'quit') {
    break;
  }

    for (var i = 0; i < students.length; i+=1) {
      // converting all name info in lower case and storing it in a separate array
        nameData[i] = students[i].name.toLowerCase();

        if (search === null || nameData[i] === search) {
            alert('Name: \'' + search.capitalize() + '\' was found.');
            message = getStudentReport(students[i]);
            print(message);
            // setting the flag to check if a name exists in our database.
            found = true;
        }
    }

    // if the name is not found, display an alert message
    if (!found) {
         alert('Name: ' + search.capitalize() + ' was not found.');
    }
}