are you on a single pnr????if yes then it might be possible to check you in all the way but in all probability you will have to collect your bags at del & check them in again for your international flight....
kingfisher will not put you up in a hotel....
since your flight is around 10 in the morning, you will probably not be able to check in for your flight till 6:30 or 7 in the morning....
the airport hotel is now open so you may want to consider checking that out....