Hello, I'm TV Tech1 and I'll be working with you to identify and help you resolve your problem.
From the description of your problems I believe the Love Film application and the account you have on Love Film is causing your problem. Each unit you have connected to it will operate independently with your account, so your Blue Ray may have a bad connection even though your Apple Mac's connection functions just fine with it.
You may need to redo your Samsung to Lovefilm connection to re-establish a new one.
Does your Lovefilm account tell you that you have to ACTIVATE your connection to your Blue Ray when you first connected it?
You may have to redo that, or possibly reset the Samsung, and start over with reconnecting it to Love Film.
In my house, 3 out of 4 Netflix connections can be working fine, but one doesn't work, and that's then I know I have to reset the Blu Ray or Deactivate/Reactivate the Netflix connection to it.
I hace already tried that - I deactivated the Samsung link and then activated again. Still the same problem.
How about Lovefilm, we don't have that service in the USA, however it should have the same setup that requires that both your TV and computer be connected to your account so you can recieve a code that connects your TV to the account you have on your computer.
Hmm, Blu Rays purchased after May 2010...I doubt that's an issue, is it?
Samsung Blu-ray player (purchased after May 2010
Internet connection with at least 2mbps (mega bits per second)
What is your Blu Ray's model number? You should know the year you purchased it, but I think I'd want to check Samsung's website for more details on your model.