Sentences can have many kinds of flaws:
1. they can be grammatically wrong
2. they can be grammatically correct but have no clear meaning
3. they can be grammatically correct, have a useful meaning, but use words that are poorly chosen.
4. none of the above, but they just don't sound good to native speakers.
1.
Your sentences have two true grammatical errors:
"an offensive person", not "a offensive"
"a charm offensive", not "charm offensive"
2.
The meaning of #4 is not clear. What does "when he was all alone" refer to. Is it the time when Tom did things? Is it the time when we cannot bear the agony?
3.
In three of your sentences, "sent" is a poor word: a better word is "caused"
4.
"That way of Tom's to speak" is correct, but does not sound good. Instead, say
"Tom's way of speaking"