First of all I would like to express my gratitude to rawsteak for his help. Thank you!
Now I am facing another problem. I added another Web Part and modified the view. But how can I link my lower Web Part that contains list view data to my upper Calendar. Right now it contains the events from beginning of this year till end of next, 2015. If I go to "Edit the current view" and manually enter time frame it will show the data I want to see: All events for December 2014. So I guess I have two questions:
1. Can I program the filter for a current Month?
2. If not, is there any way I can link lower and upper Views?
I would appreciate your help and advise.