Заполните пропуски данными в скобках глаголами в подходящей форме группы Perfect,

Заполните пропуски данными в скобках глаголами в подходящей форме группы Perfect, Past perfect, Present perfect, future perfect.
1)Our colleague______a new job lately (to find).
2)Our colleague_______a new job by the last day of August (to find)
3)Our colleague________a new job by the new year( to find)
4)My cousin and her fiancee______recently_______into a new flat (to move)
5)My cousin and her fiancee______into a new flat when they got engaged (to move)
6)My cousin and her fiancee________into our new flat by next summer (to move)