I don't want to give up! 😓

Don't want to quit breastfeeding, but I'm having a hard time. My baby is almost 4 weeks and she is breastfed and formula fed. Long story short, she was breastfed in the hospital, but I was unable to breastfeed her for about a week after coming home due to severe engorgement and scabbed nipples from incorrect latching. I had to give her formula, I was in too much pain. Well it's been hard getting her off the bottles now. Sometimes she feeds at the breast just fine but other times she refuses and just cries. During those times it's easier to just give her formula. And I know every time I do that I'm ruining my supply. I keep feeling like I should just give up but I don't want to quit! I don't have much support at home and I was hoping someone had some success stories or some advice for me. Thank you for reading this.