This is not a fly-by-night agency; they have legit sales, and have been in business longer than I have.
So, what the hell is going on here, cause this isn't just bad advice, it's TERRIBLE advice.
(If you don't know why it's terrible, you don't know enough about querying to be querying.)
The ONLY thing I could think of is that these folks also do business in other countries, and this may be the norm there.
It's NOT the norm in the US and doing #4 (call the agent) will only result in you being the subject of a very tart blogpost.
If you try #5, I'll be surprised if you get anything but voice mail and silence. Most editors don't answer their phones unless they know who it is, and they will NOT give agent reccs to strangers.
Bottom line: finding out who to query is YOUR job, not mine, and not an editor's. There are a myriad of ways to do this and have been for years. If you want to cut to the chase and just get a list of the three best agents for you, please make sure my name is NOT on that list. That kind of impatience mean we are not suited to work together at all.
Agents who try to be "helpful" like this would do better to just keep quiet.
What does this mean for you: You need to be able to recognize piss-poor advice when you see it. To do that, you'll need to scout around and read carefully. Does the advice mesh with what you're reading elsewhere? Most guidelines are standard: send a query, don't call. What goes IN to the query may vary, but most of us want to hear from you by mail.
If advice seems off-kilter does the person doing the advising tell you it's off kilter?
I've got a couple opinions that are not the norm (query everyone; personalization sucketh) but I'll TELL you that up front.