David,
Looks like you’re running a clean Eclipse and MyEclipse ship, so configuration issues seem unlikely.
There are two parts to setting up a connection.
1) Configuring your driver
2) Creating a new Profile in the DB Browser
What exactly is failing for you? You restart eclipse and find your driver unconfigured (the jar file is missing) or do you find the profile missing, or maybe the profile is present but the driver is missing the jar…
Are you existing eclipse normally? Or does it crash or close unexpectedly? The information might not be persisted if Eclipse exits abnormally.
You forgot to mention what driver (exact details if possible) you’re using and what database you’re trying to connect to.
Also, once you configure your driver and profile, do you manage to connect successfully to your database and browse it, or does it not work for you at all?
Best,
Brian.