Ok if the power is completely drained if you try turning the iPad on you should see the outline of the battery. Once you connect the power to the iPad it should turn on and start charging. Is the iPad powering on at all so you can see the homescreen? If not and you are unable to reset by holding down both the Sleep & Home buttons together until the Apple logo appears you may need to try reseting your iPad to factory settings, and under the circumstances you'll need access to a computer with iTunes in order to do this, however if you do decide to do this it will delete everything on your iPad, so I hope you have backed up recently?
It may be if you connect to iTunes and view the iPad Summary tab that it gives you the option to Backup but I can't guarantee this.