Is there any way to get the pages’ heat maps in Google Analytics?
If not, is there any way to count the watching of a YouTube video from a specific page?
Google Analytics don't record the information to generate a page heatmaps. However you can add the Google Analytics' paid extension SessionCam's Session Replay, Heatmaps and Web Analytics (free trial available), it will generate website heatmaps for mouse movement, mouse clicks, page scrolling and browser attention:
Not sure if this tool could help you on your issue: http://miapex.com