Nice to hear from you again!
It might take a while until you get an appointment for a hearing with the judge. That always depends on how busy they are at the moment. But don't worry, since you appealed on time your case will be processed sooner or later.
As far as I know you can submit your medical reports along with other new evidence on the day of your hearing.
In Germany it's possible to get a so-called "Ausbildungsduldung". The Ausbildungsduldung allows you to stay for the duration of your Ausbildung (usually it's 3 years) even if your asylum application got rejected. After that you have 6 months to find a job in a related field. If you are successful, you will get a residence permit for another 2 years. It also works for "duales Studium".