Now that's strange. I found two manuals for the same product. One mentions the alarm function and the remote control has an alarm button: https://www.alan-electronics.de/alan/CustomUpload/374O357O340O370O356O369O350O320O363O352O365O/Gesamtanleitung_DR_790_DE_EN_FR_12062018.pdf The other manual does not mention any alarm function and the remote control does not have an alarm button: https://www.alan-electronics.de/alan/CustomUpload/374O357O340O370O356O369O350O320O363O352O365O/Anleitung_DR790CD_DE_EN_FR_03_2021.pdf

MP3 files can be played via a USB stick. Here is the data sheet: https://www.palotec.ch/media/pdf/Albrecht_DR_790_CD_10_2020.pdf

That's true, so if reception is not good it could be problematic. But in the city, no problem at all! A super product, I really like it. Very nicely finished, good speakers and looks mega cute.

I have the same problem, seems to be not the best antenna. Can't replace it with another one either.

No, the unit can only be operated with a cable connected to the power supply.

Yes, there are 4 brightness levels: from completely dark to very bright.