I'll take a stab at it -- Yes, you are absolutely in the game at the end of May with 4 WLs, but it's an irrefutable fact that the window is closing. That said, the issue comes down to how committed you are to reapplying right away if things don't work out?
Many schools recommend skipping a cycle to address whatever held you back this time around. Do you know what that was, and have you already addressed it, or is your issue simply one of the numbers?
If you think you might need to sit another cycle out, you're fine and you have all the time in the world. Otherwise, what are you waiting for?
Being sad, frustrated and hopeful is natural, but, if you are committed to reapplying this cycle, you have had a heads-up for over a month that it would be a distinct possibility. While submitting on Day One is certainly not essential, the way you get past your freeze is by realizing that the verification queue is steadily building every day, and literally thousands of people are already in ahead of you while you are frozen.
If that doesn't motivate you, you really might need to take a break. By the time you know for sure that you are not going to medical school this summer, it will be sometime in July or August, you will no longer be early, and will actually be bumping up against not even being on time for a reapp, depending on what the verification queue looks like then.
TBH, if I were you, I'd have either already decided to sit this cycle out, or I would have at least submitted one school in order to get verification going. Don't rush something that isn't ready, but there is no reason (or excuse) to hold a reapp until mid-July. Hopefully, this will motivate you to swallow hard and get going. Good luck!!