Regardless of the rape charges,
This would be a big violation of international law regardless of what the national law might be. They can't just storm an embassy. They might close it, but as have been said they have to give enough time for staff to leave.
Although he really should answer and defend himself. Storming an embassy is the last thing needed here, it would set an horrible precedent.
I am sure Ecuador could perhaps work out someway to have him in equador after the interrogation if no charges pressed or having him there after sentence is carried.