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You said "Google doesn't want to index and show other search result pages" but keep reading your email, you mean "site search", not Bing, right?
I have ton of experience with site search boxes. My answer is to code kb-search.aspx to auto-generate the metatags and on-page for the keywords argument. Then, have a link like "what people are searching for" to a new SELECT
aggregated page with anchor and links (50 max).
Google loves it!
Yes, we heard that... )-:
You right - Phone calls more often (not just when bad things happened) is a good tactic.
What we do @ Search3w is charging the hard cost money upfront and if the client decides to leave - Nothing can stop him, but we lose no money.
My tactic is to ask the client to share any emails or phone calls he gets that are SEO related directly with me (the CEO) and they trust me to provide them honest reply.
Yes, this is totally true - I told clients several times: Yes, this is a good deal. This company looks reliable, but just one thing - Keep me in the loop (for small retainer fee) to keep eyes on them. It works!
Can MOZ keyword explorer output sentences instead keywords? We need to optimize our website for the Knowledge Graph (OG). There was an old tool that does it, but I can't remember its name.
When I said " good directories " I meant http://www.seomoz.org/directories/ Do you think these directories will cause Penguin signal to be triggered ? As of my 2nd advice, do it on the right pace. Few factors need to be determine how much to do per x time. Obviously I will agree that directories submission you can find on commercial seo tools will trigger Penguins signals and one should avoid them. Are we good?
You wrote "until the subscription comes up for renewal" - Is it charges automatically, or it gives me a chance to decide before hand?
Does Anybody heard about this tool? http://fruition.net/google-penalty-checker-tool/ ?
Why MOZ cannot provide the same tool with all the inner and analytic data Rogers have?
Did you see a penalty tool alike?
For the recent two updates, I think that there is no real "penalty" per-se. Most of the sites I checked lost position on some keywords, and gained better position on other sets of keywords. If this statement is true - We need no tool at all 
I will check the robots.txt and header metatags as your skin might come with NOROBOTS defaults metatag.