Cruiser Mogami
http://www.combinedfleet.com/mogami_c.htm
Displacement - 13,440 tons
Dimensions - 649'10" x 66'3" x 19'4"
Speed - 35 knots
Armament - 10 x 8"/50, 8 x 5"/40 DP, up to 50 x 25mm AA, 12 x 24" TT
Armour: 3.9 in belt, 1.4 in deck, 0.98 in turrets, 5.0 in magazines
Aircraft: 3 × Aichi E16A reconnaissance floatplanes
Admiral Scheer
http://www.hazegray.org/navhist/battleships/germ_dr.htm
Displacement - 11,700 tons standard; 15,900-16,200 tons full load
Speed - 28 knots
Arm: 2 triple 11 inch, 8 single 5.9 inch, 3 dual 4.1/65, 4 dual 37 mm, 6 20 mm, 8 21 inch TT (aw)
Armor: 2.25-3 inch belt, 1.5 inch deck, 3.25-5.5 inch turrets, 6 inch CT
Aircraft: one Arado 196 seaplane
There's little element of surprise. You've got a faster and lighter Mogami chasing down a German PBS. Mogami will likely have two aircraft up, either of which will be a match for the Arado 196.

