Rename items
While on the menu screen, enter the equip menu. Select the item of your choice, select the status of the item, and press X(2) on the item. A name creation screen will appear, fllowing you to enter the name of your choice.

Monster eggs
The most common places for monster eggs to appear are locations which had Boss battles. If when you enter a recent battle area and a monster egg is not there, leave that room and return until one appears. When you find one, map out the most common areas that the monster eggs wander around and leave food every place it usually goes. Note: You can only have five pieces of food out at a time.