Hi Henrique.
Here's a few things to try: (sorry if they sound rather basic ideas but it is always worth going right back to assuming nothing)
1/ Double check the supply voltage reaching the ICs (as you have already done) but also check with an oscilloscope (if possible) that it is a good clean DC voltage.
2/ Check the reset LED comes on for about half a second at switch on then goes off. Similarly, it should come on when the reset button is pressed and stay on for about half a second after the button is released. Ideally, check the reset signal gets to the CPU.
3/ If you have an oscilloscope look at the clock signal on U16 pin 1. It should be 7.3728MHz. It won't look perfectly square but it should be a clearly identifiable 7.3728MHz frequency that reaches very near ground and 5 volt.
4/ If the clock looks wrong try removing the shunts on J3 and J4 to isolate the clock from the SIO. Look at the clock again.
5/ If the clock looks wrong try removing U12 and U13 to isolate the clock from the IDE interface. Look at the clock again.
6/ If the clock looks wrong try removing U16 pin 1 leg from the socket to isolate the clock signal from the PCB. Look at the clock again (on the pulled out leg).
7/ If the clock still looks wrong then double check component values around the oscillator circuit and look for bad joints and shorts.
8/ If the clock still looks wrong then replace U16.
9/ If the clock still looks wrong check all the pins on U16 are at 0 volts, 5 volts or have an active signal on them. I've seen odd things on clock signals if the oscillator IC has any floating inputs.
If you don't have a scope then select the SCM ROM and watch for activity on the out LEDs. Even without RAM and a serial interface SCM should get as far as outputting the LED cycle pattern. As you have a logic analyser you could just use that to monitor the clock signal, set to highest sample rate possible.
Carry out these tests with no accessories connected (no USB adapters, CF card or expansion modules).
Once you have a good power, reset and clock report back and we'll see where to go next.
Steve