1)Our colleague has found a new job lately (to find).
2)Our colleague had found a new job by the last day of August (to find)
3)Our colleague will have found a new job by the new year( to find)
4)My cousin and her fiancee have recently moved into a new flat (to move)
5)My cousin and her fiancee had moved into a new flat when they got engaged (to move)
6)My cousin and her fiancee will have moved into our new flat by next summer (to move)