Did you try removing chrome altogether and re-installing?
In Chrome, check in Wrench > Settings > On Startup > next to the radio button for Open a specific page or set of pages, click on Set pages > remove any unwanted URLs by hovering over the URL until you see an "X" appear to the right side of the URL.
If all searches that you perform in the omnibox are returning with results from a different search engine instead of your preferred search engine, check in Wrench > Settings > Search > Manage search engines > check the list of Default search engines, Other search engines, and Search engines added by extensions, and remove suspicious entries that you are not familiar with. Depending on your extensions, you may not see the last section for Search engines added by extensions.
To remove an unfamiliar search engine, make sure you select your preferred search engine first, and then remove the unfamiliar option.
If an unfamiliar page opens up when you click on the Home button, check in Wrench > Settings > Appearance > select the Show Home button checkbox > check the URL below it.
Also check that there are no extensions installed that may be causing these changes. Go to Wrench > Settings > Extensions > if you see any unfamiliar extension that you do not remember installing, try disabling/removing the extension to see it was causing these changes. Some users have mentioned "FLV", "ilivid toolbar". To disable, uncheck the "Enabled" checkbox next to the extension. To remove, hover over the extension until you see a trash can icon appear, and click on the icon.