A single stroke can cause both swallowing and balance issues.
I googled and this popped up from AI:
"Brainstem stroke: The brainstem controls balance and coordination. A stroke in this area can cause vertigo, along with other symptoms such as weakness, double vision, and difficulty swallowing.”
AI also stated the following:
“If you have had a stroke and experience vertigo afterward, it is important to follow up with your healthcare provider to ensure that it is not a sign of a recurrent stroke.”
Multiple strokes are a serious issue, with the possibility of additional problems occurring. If your swallowing and balance issues were caused by separate strokes, I would be looking for a condition that makes clotting more likely.
For example, antiphospholipid syndrome (APS) is an autoimmune condition that causes an excessive tendency to form clots. There are three known antibodies that can cause this condition – lupus anticoagulant, anticardiolipin antibodies, and anti-β2-glycoprotein I antibodies – and you may want to be checked for them. If you test positive, you will need to take warfarin (Coumadin) to reduce your tendency to clot. (The newer anticoagulants do not work well for this condition).
It is normal for clots to form from time to time, and our lungs will filter most of them out before they get to our brain. For this reason, all blood is normally pumped through our lungs as a final step before it gets to our brains. Sometimes, there is a small heart defect that allows blood to pass unfiltered, resulting in strokes. A hole between our left and right atria is supposed to close after birth, but if a small opening remains – called a patent foramen ovale (PFO) – clots are much more likely to reach our brains.
Not all strokes are caused by blood clots. For example, giant cell arteritis (GCA) is an autoimmune disease that causes vasculitis, an inflammation that can obstruct arteries. GCA can affect the vertebral and basilar arteries that supply the brainstem, damaging the centers that control swallowing and balance.
You will need coordinated expertise to sort out your problem, the kind that is rarely found outside a major university-based medical center. It is crucial that you minimize the possibility of further problems, and that starts with finding the source of your current problems.
You will need very specialized physical therapy to help you overcome your balance and swallowing difficulties. I pray you have strength and courage along that journey.