Am I a bad person? If so, how can I change myself?

So, as a female, having a female friend is the best thing and this friend of mine who was also my ex roommate was my first female friend in another country so i think of her as my really good friend.

I misunderstood her so bad, I really thought she and the other guy who share the same college have something more than friends like i thought they had something but i just misunderstood because the guy was specifically touchy with her n all because she spent less time with me, I always wanted to spend more time with her cus she was my best friend.

I told her that she can say no but she felt not to do so because they were good friends. i didnt realize that they are very good friends until she confessed but till then i lot of things happened.

i hurt her by jokingly saying an abusive word 2 times though I apologized to her many times. But I didnt have any bad intention, I really misunderstood her because i thought she also doesnt want me to be with her friend circle like the other guy.

i feel guilty and i know i was immature and bad person but i wont make those same mistakes again and i will improve myself.

im so sorry to her.

im thinking of gifting her a sorry card with the words i want to tell her with a cake, she is 6 yrs older than me, she is like a big sister for me. she made food for me and I really enjoyed her company as she understood i had social anxiety and all and she involved me with her so. I couldnt be with her when i needed her the most but she took care of me in another country far from home. What is the best thing was that I was lazy and hated to make food so she always made food for me, after sometime I stopped eating her food because I felt guilty that she makes food for me but I never made food for her which I always wanted to as we are from different culture so i always wanted to make her my culture dishes to try.

i miss her, i cried a lot one day because i felt so guilty and regretted for misunderstanding her. at the end, when I was leaving the house she did tell me she never had any problems with me.

I know ive been a bad person but i wont repeat this again.

im also thinking of gifting her a portrait of her with digital painting as ive recently started.

but I still want to gift something else, so any of you have any good ideas for gift. I mean I havent yet paid the tuition fees yet but ill somehow manage to gift her. I just need ideas.

she is obsessed with crochet nowadays her new hobby but honestly that would take a lot of time, i need to gift her before its too late.

I know all this happened because of huge misunderstanding and anger issues. I yelled at her 2 times when i was angry, i shouldnt have done that. I feel very bad, i realized i am not a good person but my intentions were never wrong, i just felt like i was not seen.