Hmm. I honestly thought I am 3w4, possibly 4w3, as I am quite dramatic, melancholic, just like 4s. Also, when I think of being "liked', I don't really focus on what others would like, it's like I want to create my own image, and want it to be liked.

As you are 3w4, you really think it's unrealistic that I could be 3w4/4w3?
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Creating your own image" and wanting it to be liked is totally 3-flavored.
The side of yourself that you've presented -- the side that we know, the side with which you "introduced" yourself -- has strong hint of "need to be needed" flavor to it which is attributable to type w2. We're all multifaceted, though, so w4's possible.
So here's more from a 3w4 on people, people-pleasing, etc:
Personally, my sentiment on "needed" is that
if I'm going to be involved with other people, I'd much,
much rather be "on top" than dependent.
At all. That's pretty much
the thing about my relationship with people in general. (I mean "on top" as in, say, wanting to stay on "on top" of situations, not that I want to control people.)
While I know that that's very common -- "Oh, yeah; of course I don't want to be dependent!" -- it's practically a make-or-break for me.
I don't particularly care if people look up to me, but I do love credentials. I do like to help guide people who are where I've been before, while also being fair about it; but I don't look at it as that "I'm the expert/teacher/sage; I think it's cool that I'm above you." I don't seek to lead people for the sake of leading people, but I like leadership positions. And with those positions come responsibilities. And if those responsibilities involve other people, it's better to not mess around, to make things unfair, to not be a prick, etc.
But getting involved with other people also imposes constraints. You've gotta set up meetings, take time out for them, and so on. I value my independence more than virtually anything else.
So to the extent that you relate to that -- that you're not saying "this is not me" -- you could be a w4.