I have the worst luck flying

I had the worst experience flying of my life on September 23rd. I had a flight from Lansing to Detroit, and then Detroit to Dayton. My flight to Detroit kept getting delayed due to “mechanical issues”, and eventually after it getting delayed by 3 hours I was going to miss my connecting flight to Dayton, and the person at the Delta counter told me that the plane still hasn’t left the ground to come to Lansing. She said if it never ends up coming I won’t have a way to get to Detroit the next morning, since I had already missed my connecting flight and she booked me to fly out the next morning. She said I needed to take a hour and a half taxi to Detroit with 6 strangers, and I had to get to the Detroit airport before I could get my hotel voucher. I just turned 18 and taking a taxi with strangers and staying in my own hotel in Detroit was not what I had planned for. Also to add on top of this the hotel I stayed in was dirty, and had not been cleaned properly. The whole situation was not handled well and I missed 3 of my classes Monday morning due to this mix up, and didn’t get to my hotel until 11pm. This was the worst experience I have ever had flying, and I want to be reimbursed at least for my flight from Lansing to Detroit because I was told to leave, and I don’t find it reasonable for me to have to pay for a flight that I was told by a Delta employee not to take. As well as being reimbursed I would also be happy if Delta were to find a way to make up for what had happened to me, because if nothing good happens out of this awful experience, then I will choose to never fly with this airline again, and tell my friends and family not to also.