Never leave a rabbit in the sole care of a child. As an adult you will have to assume sole responsibility for the health and welfare of your rabbit.

To prevent territorial behaviour of both bucks (males) and does (females), pet rabbits require neutering. Males can be neutered at around 3-4 months, and does at 6 months. Females over 2-3 years old are at high risk of developing uterine cancer unless neutered.
Handle your rabbit daily, and it will generally enjoy your company. NEVER pick a rabbit up by it's ears, and always support your rabbits back and hind quarters when handling.
Rabbits urine can be red and this is normal, however, blood in the urine requires veterinary advice.
Rabbits have little ability to regulate their body temperature and die very easily from heat stroke,ensure adequate shade, they also need regular daily stimulation and excercise in a safe environment.

Your rabbit will also need nails clipping every 6-8 weeks, also check their teeth weekly to ensure they are correctly aligned.
Rabbits moult 2-4 times a year, only one of these will be heavy (usually late Spring/early Summer).