I've never had good luck with the MS-Access output step. It seems to work much better if you create an ODBC entry for your Access DB and load it with a regular Table Output step.
Also you might check that you have the most current version of the Jackcess driver.
Edit: also, for automating flows of data, like writing a CSV and then loading it, you would use a Job. If you're only familiar with transforms, look at the docs on ETL jobs.