Engineering AC circuit-exercise with capacitors-inductors

[Solmyros]

So i started studying about AC circuits and i tried solving an exercise.The problem is that not only i am stuck,but also i am not even sure that what i have done so far is right and follows the right logic.So some quidance on this would be appreciated.

Here is the problem http://prntscr.com/3dwzdt

and down there is my attempt for this.

Thanks in advance for your help

 

[TimeToShine]

Try and convert all of it into an equivalent impedance first. Using this, you can find the current flowing into R2 by means of current division.