AnteFil,
<!doctype html>
<html lang="ru">
<head>
    <meta charset="UTF-8">
    <title>Document</title>
  <script>
document.addEventListener("DOMContentLoaded", function() {
    let k = JSON.parse(localStorage.item || "[]");
    const inp = document.querySelectorAll('input.item');
    const fn = (elem, i) => {
        if (k[i] !== void(0)) elem.value = k[i];
        elem.addEventListener("input", _ => {
            k[i] = elem.value;
            localStorage.item = JSON.stringify(k);
        })
    };
    inp.forEach(fn);
});
  </script>
</head>
<body>
<input type="text" size="40" class="item">
<input type="text" size="40" class="item">
<input type="text" size="40" class="item">
<input type="text" size="40" class="item">
<input type="text" size="40" class="item">
<input type="submit" value="Отправить">
</body>
</html>