Will these Blu-rays play on my Blu-ray player?

[JSantiago]

I own an LG BPM53 3D Blu-ray Player.

There are three Blu-rays I would like to buy, but I'm not sure if they will play.

The first is a Region 2/B Blu-ray.

The second says "For Region Free Blu-Ray Players only" on Amazon.

The third says "1080i Player Required/Region Free" on Amazon.

Which, if any, will work?

[JSantiago]

Assuming you are in the U.K.:

[JSantiago]

"The first is a Region 2/B Blu-ray".
Yes, that will be OK. 1

[JSantiago]

"The first is a Region 2/B Blu-ray".
Yes, that will be OK. 2

[JSantiago]

"The first is a Region 2/B Blu-ray".
Yes, that will be OK. 3