title_body: Issue pressing down French Press
upvoted_answer: A number of things aren't clear from your question. I can think of three issues that might result in the problem you're having.
  Clogged strainer
  If the strainer is clogged, the air has trouble being pushed out. That may make it harder to push it down as the air stays under your strainer.
  The solution is easy, make sure the equipment is cleaned well, a bit of soap does wonders to remove oily residuals.
  Equipment
  You may be using large equipment to make a small amount of coffee. That way, when you're pressing down the strainer is already near the bottom of your container meaning you cannot press much further. To solve this, try using a container of an appropriate size. If your French press is filled at least halfway at step 4 then this shouldn't be an issue, if it's much less, consider making a larger batch or using a smaller French press.
  Blooming
  Blooming is technique for letting gasses (mainly carbon dioxide) escape the coffee beans. I don't think this is what causing you trouble, but I think it's worth mentioning. To get a good bloom, you just need to take some time between step 4 and step 5. After stirring the beans, you wait 30 to 60 seconds to allow some of the gasses to escape.