Answer: 1. Auxiliary: Will. Main: Have 2. Auxiliary: Has. Main: Stop.
Explanation: In the first sentence we have the future simple tense. "She" is the subject who "will have" something, "a project", for the speaker.
In the second sentence we have the present perfect tense. "The rain" is the subject that "stopped" the action before the conversation started.
I hope this answer helps you.