Congratulations on completing your treatment. Radiation continues to work just as long as your treatment lasted, so side effects you had during treatment will still occur, not including long term side effects. Some which last for weeks, months, and years after treatments, so it takes time, and everyone is different, including any underlying medical conditions that prolong healing. Most of what you describe are pretty common in the recovery phase, but the dizzy spells could be from pain meds, sedentary lifestyle or something else, and as David mentioned, losing your ability to swallow can occur, so exercising the mouth, dry swallowing is important, and see your doctor about that too. Watch out for secondary infections with Mucocitis..bacterial, fungal, viral, which need to be treated difftently, and can go septic, especially from ulcers in the mouth.
There is such a thing as Chemo Related Fatigue, CRF, that can last for years, some which we have no control, but we do with some to increase our QOL. One thing to help is to correct what we can that contributes to CRF, which can be many, and as mentioned, is to have your TSH levels checked. Another is a CBC to see if there is anemia, which can be corrected by irion, B12, blood transfusion, or epogen shots, depending in the cause and type of anemia. This same CBC will show your glucose levels, which may indicate diabetes or pre- diabetes. An A1C test will show the average levels for the past three months. Have your testostetone levels checked, as well as your vitamin D levels, which can effect your energy. Light exercise is important for circulation, mood and increasing the appetite. You mentioned tingling in arms, which can be neuropathy. exercise may help this, vitamins, medications, accupuncture, and it's best to see about it now, begore its prolonged , but sometimes nothing may help, in some cases. Maintaining adequate nutrition and hydration is important for healing, feeling good, and prignosis. Sometimes depression sets in, and that may require speaking with a professional, and possibly medications. Speaking of medications, pain can effect your QOL, inhibit healing, so speak with your doctors about your pain management.
Lastly, have your vision and hearing checked. The toxicities from chemo, especially Cisplatin, other platinum based chemo's, can effect both.
Good luck ith everything.