Not sure #1 is wrong, it's just that most columns don't apply to This PC.
#2 seems to be a bug relating to the "Add Group column automatically when file display is grouped" option, which I assume you have turned on. If the group column was added automatically and then Set FORMAT changes the format and leaves grouping turned on, the group column gets removed again. That'll be fixed in the next beta.
Does the saved format for the folder include the Group column?
The option to automatically add the Group column is mainly for when doing ad-hoc grouping (although it can affect some other actions). Folder formats can still include or exclude the Group column while using grouping, whether the option is on or off; it won't force the column to be there if the format specifies otherwise (until you then do a grouping operation manually).