Yep. You will be able to keep same servers but you will need to change IP address of your private nameservers to make them resolve from server that you will host with us.
Google has no issues with any of our servers and we hardly get any complaints for any of our servers hosted in our Server Farm. We never accept any sort of mass mailers nor we allow warez / serials / open proxy
website hostings on our servers.
Even our shared hosting signups get filtered so you wont see any sort of complaints for any of our servers getting filled. If you take a look on servers of other hosts then you will see that most of the times their new signups start spamming and their servers get blacklisted. This is quite rare with our servers.