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If you know the page authority (either by having ran an SEOMOZ Campaign or by checking the site via Open Site Explorer) keeping the page that ranks the highest is what I would do.

You are not showing up on Bing either.  Do you have Country and Age restrictions set on the FB page?  Try leaving the Country blank and the Age restriction to Anyone (13+).

If you have a G+ page, make sure you have your FB page listed/linked on your G+ profile.

The hours it takes them is really not relevant since the contract will be "x" number of links per month for "$y". Focus your correspondence on the quality and relevancy of the links they are providing.  Hopefully the adding of links will take a natural progression and not all at once each month.

Just be consistent and list the number you use most often.  For me that is my mobile number.

I had a template site and was not able to put any files on the root...going the robots.txt route worked just fine for me.

Not totally convinced on +1s yet but it's used quite a bit in my niche (real estate) so I have followed suit.  Time will tell how much impact it has.

This sort of thing happens all the time, and since I am in your niche, I might be interested.