"High pressure", or A/C Pressure Cutoff Switch should be closed, it opens if pressure goes too high to stop A/C compressor. "Low pressure", or A/C Clutch Cycling Switch, will open andclose depending on pressure in the system. As mentioned above, if system pressure is too low, it will never close.
That doesn't sound like the first problem you need to diagnose though.
No power at compressor or either of the pressure switches.
The compressor clutch does not get power until the relay is commanded closed by the PCM. When A/C is turned on, the PCM sends power to the low pressure swtich, if closed the power continues to the high pressure switch, if that is closed it continues to ground. When the PCM detects this ground signal it commands the clutch relay to close.
So, if the A/C is turned on you should be getting power to the low side switch. It sounds like that isn't happening, so first thing to do is find out why. I would start by checking to see if you have power on pin 41 of the PCM when the control panel is set to A/C, MAX A/C, or either defrost setting, as all of these command the PCM to power the A/C system.
You can check the system pressure, but there's no point in draining or recharging the system if there are other issues that will prevent it from being able to function. Besides the pressure is supposed to be checked with the A/C on and running.
Also, the switches are on a schrader valve, so draining the system is not required to replace the switch.