Skirmisher works if you're the pilot of the vehicle.
Running Attack doesn't say, but based on the paragraph about character scale feats in starship scale, I would say by RAI(Rules as Interpreted) no, RAW(Rules as Writted) is unclear.
SotG mentions that the "relevant feats" are mentioned, Running attack is not mentioned. Also, no feats related to melee combat. Since Running Attack is not listed and is ranged and melee, my interpretation is No. [I personally would allow it as a GM, but you'd have to ask yours]