Normally templates does not contain components.
Perhaps that you are using a demo site or installation with joomla pre-configured.

Why do you want to create K2 tables ?
K2 is defined in JMS and if you replicate a website or install K2 with the JMS tool menu, the table should be duplicated.

Yes when an extension is not defined in JMS, you can try re-installing it from the slave site.
Becarefull that some extensions does not use the standard joomla installer and have re-develop their own things that sometimes does not work.

You can also try using the Joomla 2.5 or higher extension manager / discover menu to install something that is already present on the disk.
Again, extension that have developed their own install may failed using this standard joomla functionality.

Some extension use a temporary component to perform their installation of their extensions. As they delete this temporary component, they are not able to re-install them in a slave site. The only solution in this case is the JMS tool menu.