Q8 is the pass transistor for the +3.3V linear regulator. It supplies the Vio rail for the Marvell MCU (88i6540-BAM1), and it also powers the hynix SDRAM and Atmel serial flash memory. Its tab is connected to the +5V supply, which is also measuring OK.
Diodes D1-D6 appear to be Schottky rectifiers. I'm not certain, but I believe they rectify the three phases of the spindle motor to provide an emergency retract voltage. When the drive loses power, the motor becomes a generator and supplies a decaying voltage to the SMOOTH controller to allow the heads to be parked in a controlled manner.
Q6, D7, and L2 appear to constitute a 1.4V switchmode DC-DC converter which supplies +1.4V (Vcore) to the MCU. That said, there is an inconsistency in your measurements. AFAICT, the uppermost pin of L2 is connected to the cathode (striped end) of D7, which means that both should measure the same.
Q3, L1, and D8 appear to constitute a negative DC-DC converter. If I'm right, then the anode (non-striped) end of D8 should be the negative supply for the preamp (inside the HDA). It appears that this area of the circuit is faulty.
My next step would be to perform some resistance measurements (in the absence of power). The preamp connector is J1, and is located at the far left side of the PCB. Set your meter on the 200 ohms range and measure the resistances between ground and each of the heavier pads (pins 2,4,6,8,10,12). One or more pins will be connected to ground (0 ohms). Similarly, determine which pin connects to +5V. Finally, determine which pin, if any, connects to the anode of D8. This will be the negative supply pin.
Our next step will depend on what you find.
References:
HY57V641620ETP-6, Hynix, 64Mb SDRAM, 1M x 4Bank x 16, 3.3V:
http://www.hynix.com/datasheet/pdf/dram ... 41620E(L_S)T(P)%20Series(Rev1.0).pdf
AT25F1024, SPI Serial Memory, Atmel, 2.7V - 3.6V, 1Mbit (131,072 x 8):
http://www.atmel.com/dyn/resources/prod ... oc1440.pdf