Before proceeding to manufacture, there are some checks that should be done to help ensure the successful production of your boards.
Obviously the main checking tool is Design Rule Check, which offers a number of checks against violation of electrical spacings, continuity of nets, and a range of manufacturing-related issues. You may not need all the manufacturing checks, you will have to decide (perhaps in consultation with your manufacturer) which ones are relevant, but it is recommended that you include all the Spacing and Net checks.
Assuming you are working with a corresponding Schematic design, you should also run Integrity Check to make sure there are no 'pending' changes. These include Back Annotation changes in the PCB waiting to be sent back to the Schematic, and connectivity changes made in the Schematic that are waiting to be forwarded to the PCB.