The first step in the puzzle is identifying the players. Here are the two lines from the first page, with the white boxes removed:
As mentioned by hint #3, vertical position is relevant. Some of these cards are positioned "low", which indicates to take the last name; others are "high," indicating to take the first name.
Driving off of that, and reading the two lines, you get:
LOWE - JAY - ZAHN - HU - LEE VIDA - SHAWN(S) - EARL - LEE - WRIGHT
Shawn Green appears twice ("deliberate"), so he gets a plural (only Josh S called that out in his solution; well done!).
Listening to those syllables from those names, in that order, reveals that they sound remarkably similar to the first two lines of Francis Scott Key's "The Star Spangled Banner", sung before every baseball game as the national anthem. To recap, those two correct lines are "O! say can you see / by the dawn's early light". Hints #4 and #5 indicate you should say the list of names aloud, and even sing them (and the puzzle flavortext speaks to "echoes").
And now, for the second page:
Again, the important names on the four cards, as indicated by their vertical position, are:
STAN - DOUG - BROCK - GOETZ - ?
...which corresponds with the national anthem's:
"And the rockets' [red glare]". So we just need to find a Dodger staff member whose name fits "red glare". Noting that the rectangle spans both the top AND bottom positions--one can derive "FRED CLAIRE" as the sound-alike, and the answer to the puzzle.
I will confess that I thought of this puzzle while listening to national anthem and working backwards from the "red glare" / Fred Claire part. Little did I know how difficult the first two lines would be to locate the full list of sound-alike players. Why I didn't think of SANDY Koufax, rather than the forced "STAN - DOUG" in the final line, is beyond me. Special thanks to checkoutmycards.com, the source of all my card photos.
One final point: the puzzle title "Dodgers Staff Member" is designed to be a double entendre on a musical staff. Admittedly, that's a stretch. I know.
Congratulations to J. Steve who narrowly edged out Ubragg for, er, "ubragging" rights. Other correct solvers (as of 11:40p) were, in order: Fanerman, Mr. Customer, and Josh S. Thanks to all who participated, and I hope you enjoyed this puzzle!
Revised PCS rankings out shortly, and set your alarms for the next puzzle, releasing on Monday June 22 at 7a PT!