Hey Ermias,
No prob, we're all here to help out.
Those aren't errors per-say. How did you setup your local server?
Are you using xampp or wamp, or did you download apache/php/mysql seperately?
I personally use xampp for local testing, it takes care of settings.
There's an option in the php.ini file called error_reporting. Set it to:
error_reporting=E_ALL ^ E_NOTICE
That'll remove those notices. Not sure why it's displaying them by default.
Also, what version are you using?
And yes, the database name is the one you've created, along with a user/password that has access to it.
Hope that helps, ask whatever questions you need, don't be shy