6 W's and bad grades on my transcript?

Without going into great detail I’ve had a long history of abuse from my father, the apex of said abuse occurring right before I began attending my local community college.

I went to community college because that was what my parents expected of me and I would have been kicked out of my home if I didn’t go, so I took my chances with college rather than struggle financially. At the time all school was for me was an escape from my family. It definitely shows on my transcript. My first three semesters are littered with F’s and W’s and a single C on a math course I had taken. I struggled with PTSD and asking for help and interacting with people was a whole other challenge on its own. Needless to say I was going to be academically dismissed.

That was 3 semesters ago. I’m currently seeing a counselor and my school therapist, my father is getting help, I’ve retaken all of my failed classes and received A’s so far so I now have a 3.3 cumulative GPA. I’m a Physical Anthropology and Biology double major.

I’ve heard people say that colleges won’t care if you go through struggles like these because I could have been smart and taken time off of school instead of digging myself into a hole. Or maybe there are people who know how to manage these things properly. I’m not asking about top tier schools (I know they’re hard to get in even for mentally healthy people). I can either go into a UC or CSU. I’m just wondering if I should just quit. I see people who stress out about a single C on their transcript and here I am with a handful of F’s…

Of course you shouldn’t quit. Many students overcome rough starts and go on to graduate, get good jobs, and into grad programs. There is no reason you can’t be one of them. Chin up! You’re on a major upward trajectory and the worst is behind you. You have every reason to feel good about yourself.

Actually, schools like people who have shown grit by dealing with hard experiences and getting through them. As long as you’ve shown a real turn around and are getting A’s now they will overlook your previous poor grades as long as you tell a compelling story.
Don’t quit!

I found out today that I missed the drop deadline for a class that I’m failing so it’s 5 W’s with an even lower GPA. I feel like I’m just not college material at all.