No more WIFI. oem-wifi-intel-iwlwifi doesn't build on the new 4.4 kernel
The 4.4 kernel doesn't support your wireless adapter. That is the reason you installed some dkms module with a backport of that driver.
After a kernel update the driver doesn't build, or is blocked by Secure Boot.
I suggest removing that dkms package completely and switch to a HWE kernel that does support your wireless adapter.
First boot with the previous kernel using grub menu. Wi-Fi should work.
Then run in a terminal
sudo apt purge 'oem-wifi-intel.*'
sudo apt install linux-generic-hwe-16.04
Reboot.