#1: Did you get my letter?
BF: If they haven't received it, you say, "I've written about my career transition and want your input. I'd like to resend the letter and then contact you in another two or three days. Is that okay?"
We do that because we want them to have the letter in hand. The letter is supposed to do a lot of work for you. You shouldn't have to tell your story 100 times. The letters will tell your story. That's the reason for making sure they've got the letter in their hands.
#2: Have you had a chance to look at my resume? What do you think?
BF: This exploits the fact that everyone in the world considers themselves a resume expert.
I don't care who they are, whether they're a plumber or the CEO of a Fortune 50 company, they're all resume experts.
They'll tell you that the margins are too wide or too narrow, that the type font is wrong. They'll say the Times Roman font should be Arial, or the Arial should be Verdana. They'll tell you there are too many words on the page or not enough words on the page. They'll advise you to move your education to the top of the resume. They'll have a million different kinds of corrections.
The main thing to remember is that if your resume is focused on work accomplishments in a chronological format, those comments shouldn't affect you, because there's only one way they can improve your resume.
They could make a few word changes that might help you, but the only way they can improve it is by reminding you of a work achievement you hadn't remembered.