I took my nuvaring out for my period and put my new one in 5 days later, I have now had my period?

Irregular bleeding can happen with any hormonal birth control method. why did you put it in after only 5 days? It is usually left out for seven days before a new one is put in. This could be the reason for irregular bleeding. Per FDA information:
How should I use ethinyl estradiol and etonogestrel (NuvaRing)?
Use exactly as prescribed by your doctor. Do not use in larger or smaller amounts or for longer than recommended. Follow the directions on your prescription label.

This medication comes with patient instructions for safe and effective use. Follow these directions carefully. Ask your doctor or pharmacist if you have any questions.

Your doctor will tell which day of your menstrual cycle to insert the first vaginal ring you use. During the first 7 days of using your first vaginal ring, you may need to use back-up birth control, such as condoms or a spermicide. Follow your doctor's instructions.

The ethinyl estradiol and etonogestrel vaginal ring should be left in place for 3 full weeks. Remove the ring after 3 weeks, on the same day of the week it was inserted at about the same time of day. Allow 1 full week to pass before inserting the new ring.

Your period should start during the week you do not wear a vaginal ring. Insert the new ring on the same day of the week it was inserted in the last cycle, even if your menstrual period has not ended yet.

The ethinyl estradiol and etonogestrel vaginal ring will not prevent pregnancy if you wear it only during intercourse. You must wear the ring for 3 full weeks, followed by 1 full week without a ring. The timing of ring insertion and removal is very important for this medicine to be effective as a form of birth control.

The ring does not need to be removed during sexual intercourse. Neither partner should be able to feel the ring when it is in place. If the ring is bothersome, you may remove it, rinse it with warm water, and reinsert it after intercourse. Do not leave the ring out for longer than 3 hours.

To dispose of a used vaginal ring, place it in the foil pouch it came in and throw it away where children and pets cannot get to it. Do not flush the ring down a toilet.

Have regular physical exams and self-examine your breasts for lumps on a monthly basis while using estradiol vaginal.

Store unused vaginal rings at room temperature away from moisture, heat, and light.
What are the possible side effects of ethinyl estradiol and etonogestrel (NuvaRing)?
Get emergency medical help if you have any of these signs of an allergic reaction: hives; difficulty breathing; swelling of your face, lips, tongue, or throat.

Stop using this medication and call your doctor at once if you have any of these serious side effects:

sudden numbness or weakness, especially on one side of the body;
sudden headache, confusion, pain behind the eyes, problems with vision, speech, or balance;
chest pain or heavy feeling, pain spreading to the arm or shoulder, nausea, sweating, general ill feeling;
a change in the pattern or severity of migraine headaches;
nausea, stomach pain, low fever, loss of appetite, dark urine, clay-colored stools, jaundice (yellowing of the skin or eyes);
swelling in your hands, ankles, or feet;
a breast lump; or
symptoms of depression (sleep problems, weakness, mood changes).
Less serious side effects may include:

mild nausea, vomiting, bloating, stomach cramps;
breast pain, tenderness, or swelling;
freckles or darkening of facial skin;
increased hair growth, loss of scalp hair;
changes in weight or appetite;
problems with contact lenses;
vaginal itching or discharge;
changes in your menstrual periods, decreased sex drive; or
headache, nervousness, dizziness, tired feeling.
This is not a complete list of side effects and others may occur. Call your doctor for medical advice about side effects. You may report side effects to FDA at 1-800-FDA-1088.