My candidate status school had similar success. I think perhaps 10 to 12 (maybe 15?) people applied. Class size is < 70. I know of one who received no interviews, but this person was a VERY poor candidate. I have heard of one or two who didn't match (and didn't have any luck in the scramble). One person is still interviewing for scramble positions. The rest of us matched, most at our #1 and #2 choices.
In terms of what the school did, we had a residency prep class that was available as an elective. I didn't take it though. Our dean wrote recommendation letters for most of us (if requested) and we have a lot of really good clinical rotation sites, especially for a new school. We are in every local hospital and our base is an academic, level I trauma center. We also have spots with faculty in a large multifacility hospital that specializes in heart/lung, orthopedics, rehab and transplant services. Plus the local VAMC hosts a number of our students. So we get great exposure and make contacts that help with the application process.
But in the end, I think it's more about the students applying for residency and their individuals qualifications than where they went to school.