Li. True but need first to say connects subject and predicate and also that it disappears only when the two words are all alone as subject.
Pi. True but you need to indicate that it only for modifiers, and tha it only arises when a pair or more of words form a unit of modification. That is, 'toki pi pona pimute' wouldnot have arisen in the first Place to be corrected. I have to admit your way is possible but seems more complex.
False. Prep phrases as modifiers take 'pi'. your example is a sentential modifier, which suggests that you don't have the basic tp sentence structure firmly in hand.
True but you nowhere say, only show, that 'e' introduces the direct object.
Omission of DO is universal, not just with 'ijo'. (with 'moku' the usual reconstructed missing DO is, in fact, 'moku').
Some of your terms for parts of speech are hard to figure out and not very informative. To be sure adjectives come after nouns, but you haven't said that yet nor what function they perform there. Nor are nouns smaller than verbs, nor less important, etc.
But the point about PPs after and not before DO is a good one.
It's not clear ( see elsewhere) that 'sina o kama' is an imperative, and, if it is, then the 'sina' is already separated from the imperative: 'sina o, o kama'. In any case, the vocative has a separate source from the optative/ imperative (it ispriorto one and unrelated tithe other).
The 'sina o Jo' source for 'tawa pona' is extremely unlikely compared to at least two others.
True, but when -- and why -- can you use 'en'? And 'anu'? Actually you ca use 'en' between verbs and between direct objects; it's just a different "and". But youcan't use it between sentences.
[sorry battery dying]