I am getting new shoes for my hatch and there are two sets of wheels to chooose from.

One's specs are - 15x7 - 8x100 - Offset 40

And the other are - 15x6 - 8x100 - offset 37

whould either of these offsets be a problem and what tires would you recomend.

 

neither offsets would cause a problem..
at worst the 15x6 with the 37mm offset..if you run a 205 tire and have low spring rates in the rear you may get rubbing which you may need to roll your fenders..but overall I would choose the 15x7 with the 40 offset.. but its up to your preference..Tires overall I've only used Toyo T1s or Falken Azenis so Im not much help but both are awesome tires for novice Autox/track runner

 

15x7 >> 15x6. go with a 205/50-15 of course...