Item 1: ObjectDock takes a LONG time before it starts. Fences and other Stardock apps seem to start pretty quickly but not ObjectDock so means have to go hunting for an app in start menu rather than a quick launch from ObjectDock
ODock itself should load reasonably fast, its the config UI that needs some work still.
Item 2: Doesn't appear to be any integration of ObjectDock with Start11
Start11 is the Start menu in ODock and shows when clicked or invoked otherwise.
Item 3: On a dual display monitor the dock sometimes shows on display 2 and sometimes on display 1. There doesn't seem to be a way to drag the dock onto the primary monitor. Only way to get it onto display 1 (primary) is to do a reboot.
While improvements could likely be made here, you can move it to any monitor you like from the config

Sean Drohan
Stardock Product Lifecycle Manager