Oh, I ve had stuck emergency brake plenty of times. It almost always happens after I've been driving in the wet, and park it for a week or more. Rust forms between the E-bake pads and disc and sticks them together. But just putting it in gear and letting the clutch out will break them loose. However, to avoid it, my current practice is to use the E-brake and 1st gear when I park the car when I'm out and about. But when I get home, I just leave it in gear, but without the brake applied. Of course, my garage floor is level. If yours isn't, then use both.
I'll assume your lift platform is level too, so either E-brake, or in gear, or chocks, or any combination will be fine.