It would be tough getting all the above in the budget mentioned. 15k would definitely get a HTiB from Sony, Samsung et al. Here the DVD player will do all the processing instead of reciever. You can manage to get a decent performance out of this setup.
To give a rough idea a HTiB from Onkyo/ Yamaha would be between 20-25k without DVDplayer. Another 3-5 k and you can get a decent DVD player.