Hi, I'm a student at RCSI-MUB.
PLAB is a test you'd need to give if you're a non-UK citizen and you've graduated from a med school outside the UK or if you are a UK national who has graduated from a medical school outside the UK, and planning to undertake your further studies in the UK.
RCSI-MUB is not a university in EU, it's in Bahrain but it is qualified worldwide, including EU. It's also accredited by the IMC.
You can apply for residency anywhere. Some graduates from RCSI-MUB have indeed done their residencies in the UK, it all depends on your grades.
Of course it's harder to practice in the UK if you're not a UK citizen, they give more preference to their own citizens, but that's the same with most countries.