Limited number of Redmine tasks to open

Hi!
I'm having a redmine project tracker  with over 100 tasks total. Here's a short list of tasks:



So when I'm assigned a task i'm pressing alt+shift+N to open a task and perform a search it doesn't show me some of the tasks I need:

Here're my general Tasks settings. As you can see i switched off issue caching.

And I'm not using http-authentication (it doesn't work with this authentication either) and i'm using API token instead of user-password pair.