Are there tools to implement an institutional open access policy?
Building on Cape Code answer, what you seek for is an institutional repository. There are many, but it depends by the single institution. You should ask yours. 

Software used are often DSpace and Eprints (but there are others): these systems let users upload pre-prints and other documents; release them with Creative Commons licenses, use DOIs (sometime provided by the very same institutional repository); provide digital preservation, provide statistics, etc. 

The open access movement has a strong component in librarians, who in the last decades built protocols and best practices. 

Every institution is different and offers different services.