Do high schools previous admits affect subsequent years?

This comes under the purview of the admissions counselor assigned to your school. In certain cases, if someone in Admissions knows your school, it can help. Most good HS college counselors will have relationships with their counterparts at popular colleges, and most HSs seem to have a core group of colleges that accept a good number of their students year after year. If you’re talking about 1-2 students over three or more years, your school will have a track record with admissions. If kids from your school often flunked out or caused problems, it would be noted by the college. YMMV.