I believe you don't have 2 pay any charges or fees.
As you r on probation period; you have the right to resign. Check your contract copy or offer; if nothing mentioned in this regard means you have to pay nothing.
If they reject to release you back to India; I strongly advise you to file a case "complain" against them at Labor Department immediately.
Don't fed up and 4get this crazy idea of suicide, you are in Qatar not India; means you'll be released for sure.

Good luck