My husband has swallowing issues with Parkinson's and has had a swallowing test. When he eats he needs to face straight ahead and not turn his head that helps a lot. I have also noticed that he has difficulty swallowing certain foods like rice, noodles, shredded meats, fresh bread and sometimes chicken. Make sure that a swallowing test is done. There is therapy that can help with this.
The Deep Brain Stimulation Surgery has helped my husband with not being able to hold his head up. Before the surgery he would sit in a semi reclined position where his neck was supported and his head would lay against the chair.