This will look more psychological analysis than a graphic design one.
I've designed all of them
You answered yourself. It is design, not photography.
I have a fear that I might stay behind other Graphic Designers.
Everyone on the planet will stay behind another colleague in some respect, so, no big deal here.
many times I assume that actual Graphic Design is illustrations
Nope, Illustrations are illustrations... made by Illustrators, so, if you are doing illustrations you are an illustrator... (I am very profound thinker)
done with colors and paths (like we do in Illustrator),
That is a specific tool for a specific type of illustration, vector illustration, but you can use a painting program, (which will make you probably a digital painter n_n) or you can use physical medium, like paper, ink, paint, pastels, chocolate muse, or icecream if you want.
But also you could do achromatic work ;o)
I'm doing the photography work
Are you using that device called the camera? That is the tool a photographer uses.
Are you controlling the exposure, illumination, changing lenses, rearranging the subject, and then "click"?
logo designs
That is a very specific branch. Logo design.
contain colors and texts
I talked about color, but text... this is a good one. Design without any text? probably still in the realm of illustration.
One technique of illustration is a "collage".
So is this actual photography work or considered Graphic Design?
I already answered this. No camera no photographer.
I'm possibly wrong while thinking this, but I don't have any reason for that.
You are actually wrong thinking this... because the whole point is this:
Now, I'm enjoying this stuff.
So, forget about branding. Yes, some definitions are interesting, yes sometimes we do things that are out of the scope.
This case is insignificant next to the power of... web design? where you are sometimes coding?
Unless you have some kind of "union labor contract" where your activities are super defined, all that is into the scope of a graphic designer. Photography? Yes, Illustration? yes, coding? sometimes, lettering, calligraphy? If you are talented enough. Branding, some marketing, some printing technical skill, some fixing computers also".
But in the end... who cares? just:
Now, I'm enjoying this stuff.
Are you a graphic designer?
Here is the question. Are you solving visual communication problems to be sent to a public? then probably yes.