It seems that the Bootstrap tooltip script is conflicting with some other scripts in your website. Im not sure which script is causing this but you can try disabling other plugins or switch themes to isolate the problem.
As far as the tweet count, Twitter considers it as an “up to” number. If you want to get the right tweet count, go to Plugins->Twitter Feed -> Caching & Performance and turn on “Force Tweet Count”. It is recommended to enable caching if you turn on this option (just switch “Enable Caching” to ON).
Thanks for that — the forced tweet count works well.
Looking into the script conflict now… more in a bit.
S