Hi,
1. Turn off the "order admin notification" via the menu System>Emails and you won't be notified when the order are created.
You'll receive another email "payment notification" when the order is confirmed, after the payment is made.
2. This depends on the payment gateway you're using. The PayPal standard payment method doesn't allow for that.
You would need to use instead PayPal Pro. With it, the payment happens directly on your website when you click on "finish" and thus the order is created just after the payment is validated.
Most payment gateways works like PayPal standard: the order is created, the user is redirected to the payment page, the user pays, the payment gateway sends a notification to the website for the payment and the order status is changed to "confirmed".
And so you can only take into account confirmed orders. That's not something particular to HikaShop but to the workflow of the payment process. You would have the same behavior with the same payment gateways with other ecommerce solutions.