A family of Microsoft relational database management systems designed for ease of use.
Ahmet,
It's still not clear as to exactly what you are trying to achieve. It sounds like you want task 1.1 to start a fixed amount of time after the M1 milestone and finish at the M2 milestone such that as M1 and M2 move, task 1.1 will track. And for that to happen, you do indeed need paste links but the implementation to achieve that is a little more complicated.
First of all, you cannot have both a paste link and a predecessor with lag on the start date of task 1.1. Those two are mutually exclusive. However, you can achieve the above with an intermediate milestone such as is shown in this example. The intermediate milestone, M1-1 picks up the start delay while milestones M1-1 and M2 are used for the paste links to drive the duration span of task 1.1.
John