Is this a question related to the plans being "physical" (like in a project), or it is more like "plans do do something"? Can you use it to ask someone out for example?! How would you say - "DO you have plans for tonight?!"
Have you tried to login Duolingo web site with a computer? In there are "Tips and tricks" sections available for the Russian lessons also - for some reason the mobile app doesn't give access to them. :/