Simba, I will try to help you out. At the top of the page in the blue line that has "user cp" "horses" "horse chat" etc... Click on the word horses. It will take you to a page asking you if you want to visit your barn or visit another members barn.
Go ahead and visit your barn, you will be able to create a page for all your horses and add details about them.
As for the carrot game. It is a feature here at Horse Forum "just for fun". The carrots will appear randomly throughout the forum...they can be difficult to find as there are many members involved in the game and the carrots are caught rather quickly. As soon as a member catches a carrot another one is hidden.
We also have a carrot locator that will tell you where a carrot is hiding. Beware though... There is a carrot bandit on the loose that will take a carrot from you should you happen to sumble upon him. Also, for a fun twist, members are given the opportunity (randomly) to try and steal a carrot from another member who is off-line. Not every attempt to steal is sucessful and of course we have a tally of the biggest thieves and also the biggest do gooders who declined the opportunity to steal from another member. The carrot stats page can be accessed by clicking on anyone's carrot count.
Hope I helped clarify a few things for you. Don't be afraid to Private Message a moderator or just give a shout out for help. We're all happy to lend a hand.