Dont fly with BA

I had booked to fly to Cape Town from London at the end of Dec. That was cancelled and rebooked twice. I was then rebooked onto Qatar with my son, Wilfred Dring. However someone changed his name from the orginal booking with his correct name to my surname. I noticed and called to make sure it was his name that's on my account (DRING and not FELGATE) where they said that it would be sorted. When I got to the airport Qatar wouldn't test us board and a very nice and extremely helpful lady (Lorna Bridge) tried to help me for over 2 hours but couldn't. I have subsequently spoke to executive club and they have booked me onto a flight for tomorrow (AT MY OWN EXPENSE!). I have now incurred costs as well as a days work lost for my husband who took us to the airport and it's a good thing he did. All of this with a 7 month old. I have had to redo a covid test, pay for parking and buy a new flight because someone from BA took it upon themselves to change my sons surname. This is the most hideous thing and the way that I have been treated is disgusting. There has been no help and the customer service is appalling. The very least I expect is to be out on the next flight at BA's cost. But a very small way of making this better would have been to upgrade the flight. I have already lost a day but also incurred costs and the level of anxiety is unfair on a mother and her child. I expect my costs to be covered. Which is my covid test and parking. I also hope that BA have some sort of customer relation and will compensate this new flight that I've had to pay for. I will be posting this on social media, I expect more from you, BA. This is shameful.