1. Please update IDM to the latest version by using "IDM Help->Check for updates..." menu item
2. I don't see "IDM Integration module" extension in the list of extensions in Chrome. How can I install it? 
Press on Chrome menu (arrow 1 on the image), select "Settings" menu item (arrow 2 on the image) and then select "Extensions" tab (arrow 3 on the image). After this open IDM installation folder ("C:Program Files (x86)Internet Download Manager" by default, arrow 4 on the image) and drag and drop "IDMGCExt.crx" (arrow 5 on the image) file into "Extensions" page opened in your Chrome: