I have a non-law background and have offers from the two aforementioned universities. At SOAS I have received an offer to the MA in Int. Law, whereas at QMUL I am accepted to the LLM.
I want to specialize in int. refugee law, and I am split between which offer to accept. First, I dont know if I should go for the LLM over the MA in Int. Law, regarding which degree will be "worth most" and second, I am wondering which school provides the highest quality programmes and highest recognition.
Please let me know your thoughts!

Hey! Firstly congrats!

I studied at SOAS a few years back and enjoyed my time.

My first question would be why you didn’t apply for the LL.M at SOAS? And not the MA?

My second question is do you want to qualify as a lawyer in the future or no? Because your first degree is non law then you would still have to take the GDL conversion course if you indeed want to qualify.

If you don’t want to qualify then it’s best to go for the school which holds the most prestige in human rights (in this case, SOAS).

QMUL is renowned for arbitration and commercial law.

Thanks for your reply! The reason that I didn’t apply for an llm at Soas is the fact that they don’t accept people with a non-law background into the llm programmes. That’s why I was accepted to the MA in international law. 
I don’t have an immediate plan to get the GDL, but would like to have the possibility to get it later in my career. Also, I just don’t know any alumni from QMUL, and therefore do not know about the quality of the teaching etc. However, they offer a specialisation in refugee law(and have great lecturers) compared to the courses at SOAS- as for what I could find out. But if anyone has any experience with the two schools I would love to know your considerations. 
Thanks in advance!