Potentially, whereas I haven't seen many great residency matches from Jag i've seen some decent and surprising ones including to some Ivy League programs in less competitive residencies coming from the Caribbean. Much larger numbers from the Caribbean do play a role here. One benefit is the Caribbean students do 2 years in the states. The other benefit is that they are with a large number of americans which means rumors and news and advice travels much easier and because they have the track record, they have alumni who can sometimes help. I'm only referring to the big 4 schools, St. Georges primarily.
Its not that I don't recommend the medical school there, but if you look at it from the facts alone, at Jag you are doing all 4 years in Poland, Eastern Europe as a whole does not have the same kind of medical reputation that Western Europe does, at least when it comes to US PIs who are often living in a state of mind 10-30 yrs in the past. With some schools in Ireland, the UK and Australia, some US PIs will have done research with doctors from those schools you are applying from and so may have a more favourable view towards them. The program as a whole is small as well, which means not as much exposure to the states in general.
You can still match and honestly if you are sitting on an offer you might as well take it especially if your bottom line is you want to be a doc, you are willing to be told where to live for the next 6-10 yrs of your life and you are willing to pack up move abroad and learn Polish.
I don't know how badly you want plastics or ortho, but be honest with yourself, if you haven't actually done more than 2 weeks of either you can't really say you really want it. All you can say is you like the sound of it. If you haven't done a lot of research in either field and are saying you might be interested, its not a horrible idea to just go Jag, you might match you never know or you might also change ur specialty of choice when you go through medical school.
If you are dead set, lets say you've done 2 yrs of ortho research, you've shadowed the doc you broke your bone as a child and your ortho saved your butt and you are super serious about ortho then you might want to consider going to school the states. Even if it means beefing up your resume doing one of those (med) masters programs that lets you get into the med school if you do well or something.
I don't particularly recommend the Caribbean, i'm just saying a school like SGU might be slightly better than Jag when it comes to matching because there are probably people who have done it before.