It is definitely one those times where you need to trust the process. The colleges are very efficient with the help of parchment.
For the courses applicants need to demonstrate they completed the recommended course requirements the colleges will match that up when they get the transcripts and the student noted it in the application.
To get the credit - My kids have had multiple classes transfer to their colleges. No problems. The only slightly wonky part can be how the college they are getting the degree from matches the courses from other places with their equivalent courses. But even that is usually very smooth.