Hello!

Regarding QMUL the entry requirements for swiss students are stated on this site: http://www.qmul.ac.uk/international/international-students/countries/switzerland/index.html#entry
Which states that you must have at least a 5.0 to get a place.

The University of Westminster doesn't state how exactly they convert their entry requirements for International Students. But i would guess that they might be lower than at QMUL. They are not saying explicitly that they want an upper second class honours (2:1) in your first degree like QMUL, just a good honours degree, so I think a 2:2 honours would be sufficient in Westminster.

Just try and apply to both of them, you've got nothing to loose. The only way of definitely not getting into a programme is to not apply at all.

For our Westminster LLM we typically require a good 2nd class Law degree, which would usually be around a 55% average mark on the UK grading system, with particular attention to performance in relevant areas such as Contract for the LLM in International Commercial Law. Also there is some variation by UK University in how they grade undegraduate degrees (a top-end University may grade somewhat harder than a bottom-end one), but the External Examiner system means this variation is much less than in most countries, and UK % grades tend to be fairly consistent in my experience.

Queen Mary (where I used to work) I think has a stated requirement of a 2.1 equivalent degree, but there is usually some flexibility if you can demonstrate your proficiency via eg job experience, so it may be worth applying to QM with a good 2.2.

I would generally encourage any interested student to apply to the programmes they are keen on, but if your overall grade is low (I would suggest that means below a UK high-2.2) then you will need to demonstrate competency through eg your relevant work experience, your references, areas of specific expertise (high grades in relevant subjects), and your supporting statement.
You should also consider whether postgraduate study is really for you - are the factors that resulted in your original low grades gone now? Do you have both the ability and the consistent focus to successfully complete an LLM degree?

Re a Swiss qualification, our International Office has data on equivalencies, and our Admissions Office can advise prospective applicants. My suspicion from what you have said is that your qualification may be equivalent to a 3rd class UK law degree, which we would not normally accept as a qualifying degree, but I don't have access to the IO metrics.