// Print all the characters of the navigator's name, in reverse order. ie. "nhoJ"
You're missing this step. Try applying .split, .reverse and .join methods.

To check if driver's or navigator's name goes first in lexicographic order try applying .localeCompare method.

Very easy way to check if the given word is palindrome is using .split, .reverse, .join methods. Try something like this:

var str = prompt("Let's check the palindrome. Give me a word:");

function checkPalindrome(str) {
  return (
    str ==
    str
      .split("")
      .reverse()
      .join("")
  );
}
var value = checkPalindrome(str);
// console.log("value:",value)

if (value === true) {
  console.log("The word is palindrome.");
} else {
  console.log("The word isn't palindrome.");
}