University of Manchester: Late replyWatch
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If you can ring admissions that might be best otherwise send an email and chase it up. It's possible your application may have been overlooked or maybe they simply haven't made their decision yet but admissions should be able to give you some sort of idea as to when you might hear back. Uni's have until around the 20th to send out all their offers so it really needs to be chased up soon if you've been overlooked.
I've again dropped a mail to them and thinking to call them by this day. I fear, my application has been overlooked, as you said. Should I take it as a negative sign, please be honest?
If it is that it's been overlooked then it's not anything to do with you or the strength of your application. If it hasn't been overlooked they could just simply be dealing with a lot of applications, or seeing how many replies they get from earlier offers before sending out more or something.
I wouldn't recommend accepting another offer right now until you have an answer from Manc if you'd rather go there. Uni's have to respond by a certain date and then your acceptance deadline should be a few weeks after that (UCAS should tell you your deadline once you have all your decisions back).