Well DUH! F-501 will not have any power to it unless you put a solder blob on the SB jumper right next to it. But don't worry about it, it's only for the DB-25 accessory connector, shouldn't affect the ability of the radio to power up.
If you feel F-502 is good, there's only a couple of things to check.
The ignition sense jumpers R-504 and R-506. They are at the back of the board by wiring connector CN-506. If you have the yellow ignition lead, R-504 should be missing and R-506 in place. This would allow the ignition lead to control the radio power. Default from the factory R-504 is in and R-506 is missing. In this config, only the power switch controls the radio regardless if there is voltage on the yellow lead or not. If both R-504 and R-506 are missing, this is not allowed and the radio will not power up.
The only other thing I can think of to check is the PS line. Go back to F-502 and the connector next to it and you will see if a wire labeled "PS" (power switch). If you can get a voltmeter probe on that through the top of the connector, you will see a 12 volt pulse when you press the power switch. If the fuse is good and the jumpers correct and you see this 12 volt pulse, you're problem lies in the radio control board. If you cannot detect a 12 volt pulse there, then the control head needs to be looked at.
Beyond all this, you will need to have a tech with a schematic to troubleshoot where the problem is.