Are you sure your battery is making contact?

Sounds like your 510 is spring loaded and works fine in that regard, per your description. I find it odd that not 1, but all your atties have short 510 connections...if you watch the inner 510 while screwing on an atty, you will see the 510 tube lower as the atty makes contact and the spring does its' job.

Try it! If you see the movement, then you know for certain that the atty is making contact.

You may need to pry gently on the neg or pos battery connect, or you could have over-wrapped batteries and the wrap is blocking connection.

Try these for starters, let us know how it goes.