The Database connection is a function of Dreamweaver. If there are issues you are having with the Database connection screen remembering your password, they will need to be addressed by Adobe.
Your friends over here at WebAssist! These Dreamweaver extensions will assist you in building unlimited, custom websites.
These out-of-the-box solutions provide you proven, tested applications that can be up and running now. Build a store, a gallery, or a web-based email solution.