J
It's difficult to visualise what you are thinking about, but here is some general advice.
Onboarding
The first issue you seem to describe is about 'onboarding' - getting users familiar with the functions. You don't want them to miss important things.
You suggest "Show specific items in the top of the list with some color emphasize until user taps "OK, got it" or something similar, then they go to the usual feed as regular item." That can work. Sometimes websites have a banner at the top to get attention about one thing, with an 'x' to remove it once you've read it.
However, it sounds like you have a few things and are envisioning users switching from one permission to another. Not sure. But if you google for "onboarding tool javascript" (without quotes), you'll come up with those great 'tour' tools that point out new features step by step. That's really the best way if there are several steps or it's a little complex.
What is locked?
If you just need users to know what is access controlled and what isn't, a simple red lock symbol next to the item can be all that is needed. When a user clicks/taps that, they can find a description of who that is locked to.
Information structure
Don't create a new menu if it doesn't make sense to the structure of the site. But if it fits under "administrator" tools, then that's the way to go. But if there are one or two extra access controlled items here and there, don't break the structure to accommodate that. Just put a lock symbol next to it. However, you could have items in both categories, too. I.e. have your "my priority stuff" - which is much like a favourites section - but also have the items in the normal spot (sorry it's hard to visualise, hope that makes sense).
Of course, what you think is their priority may be different to what your users think is the priority, so what you're probably looking for is customisable favourites, with the default favourites set to what fits for that access level.
The key is: what would make sense to your users? That might require testing.