Welcome, John Robinson!
It sounds as if you might not have consulted a doctor yet about your symptoms. I have MS and am not very knowledgeable about Parkinson's disease but I did find this, which sums up what to look for, in case you haven't already found this information:
Parkinson's Disease | National Institute on Aging
Your symptoms indicate what the medical people would call a left-side paresis, meaning that your left side is showing some signs of paralysis.
The drooling might be related to that. Do you happen to notice it the drooling originates mainly in the left side of your mouth?
Parkinson's disease can begin with these unilateral symptoms as I understand it. But your problems could also be due to any number of other causes.
If you have a primary care doctor, I hope you will describe your symptoms to that person and request a referral to a neurologist.
You will probably be put through a few tests because many disorders will need to be ruled out before a diagnosis is reached. Warning: This does take time.
I hope you will get some useful answers soon!