Nearly everything you've described is perfectly normal for both women and men, cis and trans.

I'm a trans woman. I don't really get femininity. I don't wear makeup, I don't have my ears pierced. I didn't have any desire to play around with gender non conforming clothes before I transitioned.

There is no such thing as a preference or behaviour that will tell you if you're trans or not.

What tells you if you're trans, is who you are underneath all of that!

I got a rush of happiness when she referred to me with she/her pronouns

That one is pretty unusual for most men and it's worth exploring, because it's the part of your comment most closely tied with your sense of identity and your sense of self.

And remember, you don't need answers right away. You don't even need labels. All you need is to give yourself permission to explore what works for you, and to help you understand yourself more.

I used to think I'm a guy, I like many masculine things like motor sports, fixing cars, playing shooters. Things that typically boys like and I have no desire to wear girly clothes or anything like that.

Okay, first of all, girls can like stuff like that too, so that doesn't necessarily mean anything.

Now, as to your question, possibly. I'm going to throw a bunch of questions at you, but don't jump to any conclusions until you get to the end of my comment.

How long have you been feeling this way?

Is it possible that it's the novelty and not the affirmation?

Are there any "girl" things you've always thought sounded like fun, but never tried (makeup, painting your nails, earrings, etc)? Why not?

Why do you think you're a woman?

Are you a woman? I mean you say your penis doesn't disgust you. Do you really want to be a woman?

Now: how did those questions make you feel? Did you feel guilty? Sad? Annoyed? Angry? Hurt? The intent of those questions was to see what your reaction would be to being doubted or questioned. Whatever you just felt, why did you feel it? Try to trace it back to its source.

It's okay if you didn't have any noticable reaction too. I'm just probing you in a way that'll hopefully help you figure this out. I can't tell you whether or not you're trans, that's your thing. Based on your experience with your friend, it sounds like you might be, but since this is a new thing for you, I don't want to push you in a direction you might regret later, you know?

I think my best advice I can give you is to give it some time and keep exploring. That, and find a therapist who specializes in this kinda stuff so they can help you work out these feelings as well.

Finally, see if you vibe with this: genderdysphoria.fyi/

Oh, and it's totally possible to have a girlcock (sorry for being an asshole earlier, I hope you understand what I was trying to do). Plenty of trans gals choose to keep theirs.

Ultimately, the only thing that makes someone trans is them deciding that they are. Everyone experiences everything differently, and gender related things are no different. I advise you to slowly explore things and figure out what makes you feel good first, and pick labels as a secondary thing!

A lot of people think dysphoria is mostly genital focused, but it's common to feel fine with what you have and feel like other aspects don't fit you right. There's a very useful resource, genderdysphoria.fyi, that really opened my eyes and helped me wrap my head around it and contextualize experiences for me. I recommend giving it a read through and seeing what you think!

Everything in this post is "normal for a guy to feel", yes. Sounds like confirmation bias, but keep an open mind.