You can survive the game without using your items if you follow these simple tips:
1: Draw a map (It helps). You will find 3 bushes and 1 drinking pond.
2: Always start your day by getting 2 logs for the next night.
3: Feel free to take short naps during the day and drinks from the pond at night (you will not need your lantern).
4: Do not waist your rabbit meat. Cook it and save it for when you are hungry.