Welcome fellow openbox user :)
You have installed lightdm but have you installed its service file lightdm-66serv
Follow the instructions on this wiki page
https://wiki.obarun.org/doku.php?id=dbus_and_dm
Substitute oblive with your user name and in the 2nd from last instruction instead of sddm substitute lightdm
Is this a multiuser system?
I use openbox with xinit (~/.xinitrc file in your home directory with "exec openbox-session" in the bottom of it, or if you followed the wiki to set up consolekit the .xinitrc should have this "exec ck-launch-session openbox-session").
If you want it started as soon as you login in the console you can add startx or xinit in the bottom of you ~/.zlogin file
If you don't have either file in your ~/ directory you can copy default samples from /etc/skel/ after you have installed xorg-xinit. I assume you have obarun-zsh installed.
Again, welcome