Kernel 18.104.22.168-generic that has been released today on kernel-ppa fixes all my issues.
* I can boot without an external monitor and the laptop lcd screen works. Even after a reboot.
* I can boot with an external monitor (attached either via VGA cable or a docking station) and the laptop detects the external monitor fine (although it does not detect it at the correct resolution (monitor is a DELL 24").
Cherry on the top, I tested suspend and resume and it worked.
I have an e6410/i5/intel video card
Looks like I will be able to finally use my laptop.
Could anyone confirm?