I did both. But Still no response from them.
Keep trying again and if you don't receive it by morning, then you should again send emails tomorrow morning at or around 8:00 AM.
But I think they have to register your AWB number with bluedart couriers and if it's done already from their end, then you will get a call from the courier guy tomorrow.
Usually, when we get the AWB number from which we can check on the online tracking of bluedart. Which would show that pickup has been registered for a particular date. But in your case if you haven't received it yet, then I am afraid that u have to wait for another day. But keep bugging them after every 2 or three hours. Hopefully they would respond.
Good luck!