Yup
She told him how she doesn't have anyone in her life, even he abandoned her in the most crucial moment of her life where he promised her that she will get justice. Yudhishtira and all were ready for peace with 5 villages but the way Krushna presented this peace offering in front of Duryodhana made Duryodhana feel that Pandavas are weak therefore desperate for truce, I don't think Duryodhana denied them 5 villages because he knew they can turn it into a blooming Kingdom, It was Krushna's negotiation skills which made him deny everything and boost his ego
I also love how Draupadi and Krushna discuss matter of state, condition of women etc, Draupadi giving piece of her mind to someone who was source of Bhagwat Geeta makes her character much more special for me
Exactly. Krishna was shrewd and so was panchali. Actually if you read some drapaudi s conversation with yudhishtra she herself recites some of bhagwat geeta
About the war i think both krishna and krishnaa reliased that the basic problem was in the power structure and that is what needed to be changed so while pandavas fought for land and kauravas to boast their ego. Krishna and krishnaa fought to establish a just system.