Hi Pawel,
I did not make much headway today. I can see approximately the cause of the problem, but not the solution. The fact that the left side lock bar does not swing freely is not due to overtightening. The locking bar is attached to its pivot shaft, and the pivot shaft passes from one side of the lift to the other, passing through the end of the hydraulic piston along the way. So for the lock bar to rotate, the shaft has to rotate.
When the lift is not loaded, the shaft does rotate freely. But when it's under load, it binds up, presumably due to the force exerted by the piston. Some pictures below. I tried greasing the shaft, but that didn't help.
I don't really feel I should be trying to troubleshoot a brand new lift, so I've sent them a message and await a call back. We'll see what they say. I can't imagine I'm the first person to ever have this problem.
I'll let you know when this is resolved and I start using the lift.
Regarding jacking points: I'm reluctant to use the solid-circled points at the rear (just in front of the rear wheels) because my car has some rust there. Until I get around to getting that checked out to find the severity, I'd rather not put large loads on that area. So for now, I'll stick to the points I'm using.
Logically, it seems you should be able to support the car on both those outboard locations where the jack support covers are located. There have been pictures on prior threads (I remember some from Scottcorvette) showing the interior construction of those locations. The front jack points and rear jack points seem to be of similar construction. So if you can support at the rear point, you should also be able to support at the front point.
Regarding your angled configuration, the Quickjack instructions say that you shouldn't use an angled configuration; the two mechanisms are supposed to stay parallel. They don't say why.