I was going to comment under Sam's answer, but decided this probably needs it's own answer.
to send for
Is an English phrasal verb (https://www.oxfordlearnersdictionaries.com/definition/american_english/send-for)
"Send" is the verb it's based on, but "send for" has a completely different usage. Therefore you can't break the phrase up into the verb/preposition components and expect it to still work.
The rest of your sentences are using the verb "send" - which is not the same meaning as "send for".
Starting to master phrasal verbs is one of the jumps from beginner to intermediate English use, and here's a good starting list:
Most of the English learners I've known are quite surprised by how they've understood every word in a sentence, but the meaning still escapes them. It's usually because there's a phrasal verb being used. (and yes, they can annoyingly have nouns inserted between the verb and preposition/adverb to make them even more confusing!).