Jatayu fought bravely with Ravana to rescue Sita, but Ravana defeated him by clipping his wings. Jatayu informed about Sita abduction and died of wounds. Rama performed his final funeral rites.
Indrajit was granted boon by Brahma that he would only be killed by a man who hadn't slept for 12 years continuously. Indrajit was killed by Lakshmana who hasn't slept in the entire 14 year exile period.
Shatrughna is the twin brother of Lakshmana. He is a loyalist of Bharata, just like Lakshmana is to Rama.
Sita refused to stay in Ravana's palace and preferred to stay in Ashoka Vatika. This is the place where Ravana's wife Mandodari used to meet her and Hanuman met Sita.