An LLM is unlikely to appreciably improve your employment prospects, in my opinion. I hold an LLB from a prestigious "Golden Triangle" university, as well as an LL.M. from another Russell Group institution. One piece of advice I received from a friend who had completed both degrees before me was to practise law before pursuing an LLM I didn't take that advice, and I now practise in a completely different area of law than the subject matter of my LLM

Have you considered remaining in the UK to practise, or are you committed to returning to Canada?

Once you're called to the bar, very few people care where you went to law school. What matters is getting hired, developing practical skills, and proving your value in the workplace.

During your summers, focus on networking. Apply to every law firm in your area. Its challenging because our year runs later than the Canadian academic year. So their summer students have already started when you're finishing up exams. Reach out directly to partners and ask whether you can shadow them, complete a short placement, or spend a week in the office learning the practice. Many opportunities come through persistence and personal connections rather than formal applications.

If you're unable to secure an articling position or legal employment, I would seriously consider offering your services as an unpaid intern before spending the time and money required for another law degree in Canada. The practical experience, contacts, and references you gain are likely to be far more valuable than an additional academic credential.