pers-per-a-tion
Nest is only one syllable.
No, you do not divide a one-syllable word. The word is pronounced with a single stress point.
Sweat, meaning perspiration often with a foul odor, is a one syllable word. Sweet, meaning something with a sugary taste, is also a one syllable word.
The word plant has one syllable. This means that there is no syllable divide for this word.
Grim-ace, divided as "grim" (1 syllable) and "ace" (1 syllable).
of-ten
sam-ple
rea-son
tooth
colo-ring
Fin/ish
jour-ney