What causes urine leakage and brain fog on and off?

Hello doctor,

I am 20 years old and have been having several issues lately that have really been bothering me. The first one started back in September. I started leaking urine. This issue is still going on and has not stopped. I went and saw a doctor, and they gave me some antibiotics and thought it might be an infection. Two complete doses of antibiotics later, nothing helped me to this day that is still going on. Small amounts of urine seem to keep leaking out, and it gets worse when I walk around. Lately, I have been finding that I have been experiencing a good amount of brain fog. There are times that I seem to have great trouble concentrating on certain things and times that I even have seemingly had trouble finding the words to say in social situations. The brain fog seems to come and go, and usually, it gets a lot better around nighttime. However, the urine leakage is throughout the entire day. I went to the doctor and wrote me an order for a CT (computed tomography) scan and said that I could get one if I really thought I needed it. He also told me that CT scans do produce a risk of radiation. I wanted a second opinion. Do you think it would be a good idea to get that scan, even with the radiation risk?

Thank you doctor,

I will definitely talk to my doctor about that. I have one more question. If it was some kind of neurological disorder, why would my symptoms of confusion and trouble in social settings seem to get better at night?