Hello Andreas.
## It is not necessary to upgrade the kernel before the upgrade but recommended. It will save you from lots of the issues during the upgrade.
## Your current kernel version is 700. You can download the latest 700 version kernel from the SMP.
SMP --> Download Center --> Support Package & Patches. --> Archive
Note that kernel 700 has now been replaced with 720 and higher version kernel so it might not be the latest. So you can always update the kernel to 720 or higher version which is supported for your system. You can check this using the PAM.
## Yes, kernel will be updated during the upgrade.
## Never mix the kernel from the different versions. It will cause many issues.
## Please check the Note 19466 for the kernel upgrade.
Let me know if you have any specific query.
Best Regards,
Gaurav