\verb has a non-grammatical constraint that it can not be used in the argument of any command so
\section{\verb|mySec|}
is a syntax error.
\section{\begin{huge}mySec\end{huge}}
is not a syntax error and has well defined output but it is really poor style, there should be no formatting in the argument of \section the whole point of latex is that styling for things like section heads is in class setup not inline in the document. the particular markup \begin{huge}mySec\end{huge} is poor even if not in a section heading as it specifies huge text on a normal baseline so uneven linespacing. But again this is a matter of poor user style not a grammar error that a parser can pick up.
\section{\section{mySec}}
there is no specific rule preventing this but it is nonsensical input that gives some more or less accidental low level error
! Incomplete \iffalse; all text was ignored after line 5.
\begin{section}{mySec}
bla bla
\end{section}
is valid, if unusual, markup equivalent by design to
{\section{mysec} bla bla }
\begin{figure}[b]
\includegraphics{image.png}
\begin{caption}{myCaption}
bla bla
\end{caption}
\end{figure}
This is also valid but unusual markup but in this case probably not what the author intended. It is equivalent to
\begin{figure}[b]
\includegraphics{image.png}
{\caption{myCaption}
bla bla
}
\end{figure}
A classic test for latex parsers would be:
\documentclass{article}
\addtolength\textwidth{3cm}
\newcommand\biggskip{\par\vspace{5pt}}
\begin{document}
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PA''FwPA;;FPAZZFLaLPA//71F71iPAHHFLPAzzFenPASSFthP;A$$FevP
A @@FfPARR717273F737271P;ADDFRgniPAWW71FPATTFvePA**FstRsamP
AGGFRruoPAqq71.72.F717271PA YY7172F727171PA??Fi*LmPA&&71jfi
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:76jelse&U76jfiPLAKK7172F71l7271PA XX71FVLnOSeL71SLRyadR@oL
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B73:jfiXF71PU71 72,73:PWs;AMM71F71diPAJJFRdriPAQQFRsreLPAI
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s$;z zLqs'.ansZ.Ymi,/sx ;LYegseZRyal,@i;@ TLRlogdLrDsW,@;G
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\begin{section}{mySec} bla bla \end{section}because the\beginpart effectively does\section{mySec}and the\endpart does\relax, which is nothing. This syntax can cause some unexpected behavior in the document though, so it really shouldn't be used. The same goes for the\begin{caption}{myCaption}. – Phelype Oleinik Aug 30 '18 at 23:25