Looks to me like you have categorized Peter Wakefield's service as close to his actual service as you can; i.e. New Hampshire Militia. I have posted a source on the profile showing his service as Capt. John Mills, Col. Reynolds (not Runnels, as he probably wrote in his pension application). However, there is no existing category for Col. Reynolds' Regiment of Militia. If we have a few soldiers with the same service, we could create a new category, but let's leave him for now in New Hampshire Militia. Do make a note in his biography of the corrected militia name.
No wonder you couldn't pin this one down. Way to go for giving it a good try! AND congrats on Richard Cardwell. It's perfect. Good job!
Betty