Generals for Showcases, Tryouts, ect. are as follows.
I play college baseball, I am a pitcher, but obviously I see everything that goes on. Also I have been to numerous tryouts and showcases.
Running: Baseball scouts put great emphasis on the 60yd (180ft) sprint. This is because 60yds is the distance from second to home (scoring on a base hit). Also I have been places where coaches time a 30ft sprint to time players quickness.
Throwing: Depending of position it varies. All outfielders usually throw from right field with coaches gunning to see arm strength. Infielders will usually take groundballs from third or short and throwing across the diamond to first. Usually consists of groundballs both to front and back hand and a slow roller. Coaches also gun across the infield to test arm strength. Catchers will make throws to second with pop times (clock starts with ball hitting mitt, clock stopped with ball hitting mit of 2nd baseman) recorded.
Pitching: Pitchers with usually throw 15-30 pitches from mound with gun readings recorded.
Hitting: Sometimes coaches have pitchers scouted against live hitting or it may be a batting practice format depending on preference.
Hope this helps.