How can I eliminate inbox tool bar and home page from this computer?

To eliminate any toolbar : Go to View on the top ( if you don't see View press ALT key once )----> Toolbars ----> and check/uncheck the one that you would like to see

To set homepage : Go to Tools on top ----> Internet Options -----> You will see a picture of a house and a box in frint of it -----> Type the address that you would like to keep (eg: www.yahoo.com) or click on " Use blank" if you would like no homepage ----->Click on Apply down at the bottom ----> Close your Internet explorer and restart it back ---> Enjoy the changes