Right, the first two commands showed that your mongod instance was not running when you tried to connect to it.
My suggestion for you now is to do the following:
Add options to set the logpath of your mongod instance and the fork. These are --logpath <path to file> and --fork
This means mongo will run in the background. You can see details on the mongod commands here
MongoDB is run in a number of parts, mongod is the actual DB server that stores your data.
The "mongo" application is the MongoDB shell client, which gives you an interface into the server.
By the looks of things you did not have your server running when you tried to connect to it with your client.
Adding the fork and logpath options will allow mongod to run in the background so it can run without intervention.
Once its up and running in the background you can use "ps -ef | grep mongod" to check if the process is running and then connect with the mongo shell application.
If you need to see the diagnostic outputs from the mongod application these should be available in the logfile you specified.
Cheers,
David