Is it a problem that I can reach my nasal cavity with my tongue?

No. A large tongue may cause diastema in anterior teeth or worsen the open bite problem. If you just can reach the nasal cavity with a normal tongue size (and i think your tongue is normal since large tongue usually does not reach out that far), it is not a problem.
Nope. By itself, having the ability to touch ones tongue to their nose does not define or represent a problem.

Related Questions

Can feel two balloon type objects in nasal cavity with my tongue. They are simlilar in size and one on each side. Wondering what may be.?

Probably turbinates. We have structures in the nose called inferior turbinates, which help to regulate airflow, and moisturize the air we breathe. Most people would be able to touch them with their little finger if they tried, though that is not recommended, as it may irritate them. However, it would be unusual to be able to reach that area with your tongue. Read more...
See an ENT. May be several different things, but it doesn't sound normal. See an ear, nose & throat specialist (ENT) and find out for sure! they may be interfering with breathing, particularly when you sleep. This could be dangerous to your health and longevity and may be a very simple fix! Read more...

I find small balls of a foul smelling material that is almost paste like in consistency that comes from the back of my throat and nasal cavity connects to my throat and mouth. It is usually in the mornings and is a tiny ammount. Should I be worried?

Crypts of tonsils. More than likely you're describing debris that traps in the crypts of the tonsil. This is composed of bits and particles of food along with skin that is been sloughed off the tonsil region. It forms a very thick white paste and usully not much of it. Many people have a little pits in the tonsil surface that traps and accumulates this debris. It won't cause any problems so don't worry. Read more...
Tonsil stones. The balls of debris are likely a mix of old food and bacteria that stick the the holes in your tonsils. You can try a mouthwash that contains hydrogen peroxide at bedtime. Peroxyl and orajel and the 2 available ones that i recommend. Read more...
Just be aware. You should see your dentist and let them evaluate your concern. Read more...

Could the chronic pain and pressure in my nasal cavity be caused by a TMJ problem?

Possible. The temporomandibular joint (TMJ) are the jaw joints, which are on the side of the face in front of the ears. These joints can hurt often due to the the incorrect position of the top jaw bone with the lower jaw bone of the joint. Malalignment is a common but the TMJ can hurt if it develops arthritis, if the person is a tooth grinder, etc usually the pain is on the side and not the nasal. Read more...
No. Tmj problems don't cause chronic pain and pressure in the nasal cavity. More likely causes include allergies, a sinus infection, a deviated nasal septum or enlarged inferior turbinates. If it persists, your best bet is to seek evaluation and treatment by an allergist or an ENT doctor (otolaryngologist). Read more...
Very unlikely. You probably should see your local ear, nose and throat specialist. Read more...