Can my lip ring and nose hoop be worn during Laser Resurfacing? Or will I have to take them out?

Anything metal can reflect the laser beam to other areas, so needs to be covered or removed.  If you are treating those areas, then just take them out.  If not you can cover them with a wet gauze pad.

Yes, you will need to remove your piercings from any area that is being treated with the laser. Not only will jewelry block the laser but it can also scatter laser energy to areas that are not meant to be treated. The laser can also damage whatever material your jewelry is fashioned out of. Stephen Weber MD, FACSDenver Facial Plastic Surgeon

I'm not sure if you are having your entire face treated with laser resurfacing or just parts of your face.  If the area around your nose and mouth are going to be treated, then you most likely would need to remove your lip ring and nose hoop, as these would be in the treatment area.  

Depending on what region of the face is receiving treatment, the facial jewelery will need to be removed.If your mouth or nose are to be involved in the treatment, It would be best to remove the personal effects prior to the procedure.If these areas are involved in your treatment the reflection of lasers off of the metal surfaces may cause damage to your skin. A thorough consultation to address your personal needs would be necessary to determine what treatment would work best for you.

All metals should be removed before laser treatment of any kind since the laser light by be reflected from the metal surface and cause damages that might be irreparable.

It will be very important that you remove both your nose ring and lip ring before this procedure. Oftentimes these metal objects can not only reflect the laser beam but also heat up with treatment. This may lead to a burn as a result.