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I recently began work for a company and discovered that they are not using h1's (using h2's) and rank in the top 5 for ~90% of their keywords. The site is one of the original players in their industry, has massive amounts of domain authority and tens of thousands of linking root domains. However, they are currently being beaten on some of their top keywords by a few of their younger competitors. Moving their current h2 text into h1 tags could be helpful. But to what extent? Since they already rank well for so many competitive keywords, Is it worth it to rock the boat by moving their h2 text into h1 tags and risk affecting their current rankings?

Company A is set to acquire Company B. As part of the merger agreement, Company A will be redirecting the linking domains of Company B's website (over 1,000 links) to company A's website. Will Google penalize Company A for redirecting Company B's 1,000 linking domains to Company A's website at one time? If so, would it be better for Company A to redirect Company B's 1,000 linking domains in waves?

Prior to my accepting a project, the client decided to change the name of their company and purchased a new domain name to match. They hired a designer to build their new company site which has now been up and running for a little under 12 months. Up to this point they have done a good job of slowly redirecting small handfuls of linking domains from the old site to the new.  They want to make one last push and point the remaining 250 linking domains from their old site to their new site. Will redirecting 250 linking domains to a new website from an old website freak Google out? If so, how many domains should be redirected at one time? My main concern is not wanting to upset Google and see the floor fall out on current keyword rankings, domain authority and page rank, etc.