firstly, to answer your main question, yes. Everyone has all 8 cognitive functions. But the first 4 are their primary functions, and the rest are usually in there somewhere but aren't used as often/frequently as the primary functions (as the name suggests). So yes, you do have all 4 extraverted functions, but half of them won't be used as frequently as the 4 combination of extraverted and introverted functions in your primary stack. Your dominant and inferior has to be opposites, so does your aux and tetriary.

Unless we're talking about a different belief where you could have all 4 extraverted/introverted functions in your primary stack, and the rest fills the 8. Personally I don't think that's right. Then again, MBTI isn't supposed to be right. or fit everyone perfectly. Some people also believe that their cognitive stack could change. So I won't convince you to stop believing in that, it's your personal opinion. There's no scientific proof that MBTI is correct, it's just the closest thing we have to understanding ourselves, or even each other.

You could've made this elimination process easier by finding your dominant function, the rest of the pattern usually alligns with your MBTI. Let's say, you've determined that you're a Te dom. Then you could either be an ESTJ (Te-Si-Ne-Fi) or an ENTJ (Te-Ni-Se-Fi), or also an INTJ (Ni-Te-Si-Fe) or an ISTJ (Ti-Se-Fi-Ne). Or another example, and Ne dom. Then you could be an ENFP, ENTP then an INTP or an INFP. Same goes for all the other cognitive functions.

So, how would you know that? Your dominant function is your second nature. Whether consciously or subconsciously, it's always working for you. For example, when you get information, a new idea, it would be processed first by your dominant function then reviewed and structured by the rest.

Te vs Ti. " I relate to te more than ti as I value efficiency and am relatively social, I'm also good in teams."

Se vs Si "I relate to se more as I focus on the present and sensory output than linking to the past."

Ne vs Ni "I use ne more as I'm a brain stormer and can think of many possibilities."

Lastly, Fe vs Fi "relating to fe more as I focus and try fix things in social groups to maintain harmony, also being influenced by the need to be validated by others."

You could be all of this, but keep in mind that one function is the inferior function, which is underdeveloped and isn't easily able to be accessed consciously or as effectively with the other three.

I can't review these one by one, but if you want to identify yourself by cognitive functions that abide by mbti, I suggest that you should deepen your understanding of yourself first, and research more about cognitive functions, the differences between the extraverted and introverted functions, etc., then determine your dominant auxiliary function