We buy cars sell dead cars

Bought a car on the 28th February. When I collected the car that afternoon the car was already idling and I left the showroom. That same evening when I tried to start the car the was struggling to start. I send a message to the salesperson who promised to get it sorted. He collected the car the next week and took in to be checked out with the result that nothing is wrong. They tested everything and couldn't find any problems but the car still struggled to start every time. 2 weeks later the new car I just bought was completely dead and myself and my 2 little girls were stuck without any transport. I contacted the salesman again and the only reply I received was that he will talk to his manager and no further feedback or communication. For a mother with 2 small kids and this was the only transport I have this put me in a really difficult situation and struggling to get other people to take my kids to school and try and arrange transport for myself to get to work. This was unacceptable, I reported the faulty hours after receiving the vehicle already and now I'm the one struggling. But when they wanted my money and tried to sell me 30 extra policies they phoned me 10 times a day but now when they messed up and I need assistance they ignore me. I had to borrow money to replace my battery just to get my kids to school and this for a car I just bought. On the replacement of the battery the shop showed me that the battery was swollen on the one side and the guy told me it's not possible that the battery was ever checked by we buy cars because they would have seen the swollen battery immediately. It can't be missed. I'm a woman and it clearly looked like the battery was going to explode on the one side. I reported it to the complaint department because clearly the salesman is just ignoring me. The lady from the complaints department was very helpful and told me this is unacceptable service. I send her all the communication between me and the salesman as well as the proof of payment of the battery. She said that we buy cars will refund me because I did report it immediately. The case was referred to another person who told me that they won't refund me because he received the complaint a month after I bought the car. So on my reply to him I send him the proof of where it was reported the same day as receiving the vehicle as well as all the paperwork. Since then I did not receive any feedback or response. I followed up a few times already but is just being ignored. This is unacceptable and I will tell my story on all the social platforms. They can take me to court I don't care. I have everything on black and white.