Yes, Single mode N, auto channel, 20/40Mhz auto, WPA/WPA2 AES Only. Still 65Mb/s.
There is a single concrete wall between the router and the iMac, but as iMac reports full signal, I don't think that's the issue.
In Apple website, under my iMac specs: Built-in AirPort Extreme 802.11n Wi-Fi wireless networking, just like with your MBP. I doubt Apple would have limited it to so slow speed as 65Mb/s.
Yes, Teamviewer is a possibility.