Analysis is not philosophy. Logic, through used in both science and philosophy, is not philosophy.
Well yes. If you randomly define anything you don't like as "not philosophy", then "philosophy" will not describe anything you like. That is very trivially true. But why should anyone else accept your personal definition of philosophy as reasonable?
Just trying to sort out what may or may not be defined as philosophy.
For instance, people in prehistoric times were intelligent and had the ability to think and act logically, but can that ability be defined as philosophy?
Were they philosophers? Or is it just a matter of natural, practical logic?
That depends. Did they form a systematic, orderly approach to thought? If so, then yes, that is philosophy, and what century they did it in is irrelevant. If not, then no, and the century they did it in is still irrelevant.
Your terms "natural" and "practical" themselves need the deconstructive efforts of a philosopher, if I may say so. They are words often invoked, but are often found attached to
very different referents, and both have their origins in classical philosophy.