It's not quite clear what the first part ("Infinitv and zu", there's an "i" missing there too) is about – I mean, what exactly is the common mistake there? The position of "zu"?
"Zu" is only inserted between the prefix and the root if the prefix is separable. Otherwise it's placed before the verb, just like without a prefix.
"Um", "anstatt" and "ohne" are conjunctions in that context, not prepositions.
Very useful article!!!