Yes. All of the OSes you mentioned will run on a DL380e with HP's hardware RAID (SmartArray) controllers. All of them can also install to a SD in the internal slot if you're interested too.
Open iLO (needs to be configured before using, see the BIOS F8 prompt for details), mount the media to the server's virtual CD drive (either an ISO file or a physical disk in your drive, the ISO is much faster and the whole process is very slow to begin with). Boot the server, push F12 during the boot process (either from the actual console or from a Remote Console) and select the CD drive to boot from. Normal install process.
I would not recommend trying to use any HP installation media unless you're install Windows (and even then I wouldn't recommend it for advanced installations).