Can a long-term wisdom tooth eruption cause symptoms like swollen lymph nodes under chin, behind ear and enlarged gland right under the tongue ?

Yes: all unresloved infections over time could either drain or evolve or both. Infections with third molars could drain inferiorly to the lymph nodes, or to the tongue, superiorly to the ear, or evolve into a cancerous focus.

Tooth eruption: The tooth can cause pain, but usually not so much in the way of adenopathy. I would be concerned about an infection and you should get checked.

Yes, It is infection: Wisdom teeth usually appear between the ages of 16 and 25. However, sometimes they appear many years later. If you are experiencing pain, swollen lymph nodes and it does not go away or if you find it difficult to open your mouth, you should see a dentist for evaluation, x-ray and wisdom teeth removal.