In iTunes 12 on macOS, how can I reset the skip count of a song?

This following AppleScript code works for me using the latest version of macOS Mojave.

tell application "iTunes"
    tell its track "Insert Your Song Title"
        set its skipped count to 0 -- Enter Your Desired Number     
    end tell
end tell

The following code addresses the issue of multiple songs with the same name.

tell application "iTunes"
    set theTrack to "Insert Your Song Title"
    set tracksRef to a reference to (tracks whose name is theTrack)

    set trackCount to count of tracksRef

    if trackCount is greater than 1 then
        set theArtists to artist of tracksRef
        set chooseArtist to (choose from list theArtists with title "Choose The Artist" with prompt ¬
            "Choose The Artist" OK button name "OK" cancel button name "Cancel") as text
        tell (every track whose name is theTrack and artist is chooseArtist)
            set skipped count to 0 -- Enter Your Desired Number     
        end tell
    else
        tell its track theTrack
            set its skipped count to 0 -- Enter Your Desired Number     
        end tell
    end if
end tell

This following code should work if you want to reset skipped count of every track.

tell application "iTunes"
    set allTracks to every track
    repeat with i from 1 to count of allTracks
        set thisItem to item i of allTracks
        tell thisItem
            try
                set its skipped count to 0 -- Enter Your Desired Number     
            end try
        end tell
    end repeat
end tell

I noticed in the comment to your OP where you answered "Selected tracks" to dwightk's comment questions "All tracks? Or selected tracks?" So...

To reset the Skips count of all selected tracks, simply use:

tell application "iTunes" to set skipped count of selection to 0