It's a JIS 1 most probably. JIS 2 is often too big to nicely fit those particular screws (Shimano flat-bar shifter cover screws).
A set of decent JIS screwdrivers (Wera, Vessel or Hozan) should help (size 1 and 2 cover most bicycle-related work). They are all sold as "Phillips," but the listed brands make their Phillips work well with "Japanese" screws.
My detailed explanation on
Phillips vs JIS (vs Pozidriv).