Site Columns for outlook group sites

Having created a few groups and gone to their fiels and hence to the sharepoint teamsite (click the link to browse sharepoint), I see I can add columns but that none of exsiting site columns added to my main sharepoint site appear.

1) is there a way to get these in the new sites? (they have lots of useful features - like pick lists of committees)

2) if not and I have to recreate them, is there a way (or will ti happen) to ensure that thse columns will be avilable to very site assocaited with an outlook/office 365 group?

3) is it possible a template to the groups - everyone we create for any workign group (committee) at the town council will need a standard set of columns to tag files by type etc.