Popup login and register with jqiery

[gogs85]

How to make popup login and register from index.php to work and to parse data in mysql
I have:
Index.php, login.php, register.php
In index.php I have modal popup and I want to user can login and register from popup.
I try with ajax but not working.
Here is my code:
ajax.php:

  function validLogin(){
  var email=$('.email').val();
  var password=$('.password').val();
  $.ajax({
      type: "POST",
      url: "sign-in.inc",
     data: "name="+username+"&pwd="+password,


      success: function(html){

           if(html=='true'){
            alert ("Correct");

          }
          else{
              alert ("Wrong");

          }
}


  });
  }

and here is popup form :

      <div id="login">
        <form class="form login-form" name="login-popup" >

             <a class="btn-facebook" href="#"><span><i class="fa fa-facebook"></i>
</span><span>Login with Facebook</span></a>
              <a class="btn-google" href="#"><span><i class="fa fa-google-plus"></i>
</span><span>Login with Google</span></a>

          <p class="fieldset">
            <label class="image-replace email icon-log" for="signin-email">E-mail</label>
            <input class="full-width has-padding has-border email" id="signin-email" name="email-login" type="email" placeholder="E-mail" name="email" required>
            <span class="error_box"></span>
          </p>

          <p class="fieldset">
            <label class="image-replace password" for="signin-password">Password</label>

            <input class="full-width has-padding has-border password" id="signin-password"  type="password"  placeholder="Password"
            name="password" required>

            <a href="#0" class="hide-password">Show</a>
            <span class="error-message"></span>
          </p>



          <p class="fieldset">
            <input type="checkbox" id="remember-me" checked>
            <label for="remember-me">Remember me</label>
          </p>

          <p class="fieldset">
            <input class="full-width orange" id="login-submit" type="submit" name="submit" onclick="validLogin()" value="Login">
          </p>
        </form>

        <p class="form-bottom-message"><a href="#0">Forgot your password?</a></p>
        <!-- <a href="#0" class="close-form">Close</a> -->
      </div>

Please help me I try but I only get error and send this url:
http://website.com?email-login=proba%40gmail.com&password=vasgas85&submit=Login#0