KAVMonitor does not work in a FreeBSD Jail because it can't be compiled and started without his own kernel modul and "kldload". But a Jail does not implement a kernel.
Is Kaspersky thinking about supporting kav4fs for FreeBSD Jails?

Also kav4samba for FreeBSD does not work with a current samba version:

Failed to register vfs module.
The module was compiled against SMB_VFS_INTERFACE_VERSION 16,
current SMB_VFS_INTERFACE_VERSION is 21.
Please recompile against the current Samba Version!

The result is that I can't protect files in a Samba share that is working in a Jail.