Hi David,
Automotive/aircraft A/C is pretty simple in theory but it can be a bit tricky to diagnose, but I'll try and give you a quick run down on what you should be looking for -
If the compressor clutch does pull in, but airflow out of the vents is warm, then the first thing I would be doing is confirming correct refrigerant charge by connecting the gauge set. If the readings are low on both red and blue (hi and low pressure) gauges, then you're looking at a low refrigerant charge (possible leak), TX valve sticking open, or a tired compressor.
Checking for pipe temperatures at the inlet and outlet of the evaporator will help diagnosis here, both pipes should be cold to the touch, if the inlet (From the TX) is cold but the outlet (to the compressor) is warm, then you're probably looking at a low refrigerant charge or a lazy compressor, if both pipes are warm but the correct charge is present in the system then it is more likely to be the TX sticking open.
If you do open the system to atmosphere for repairs, which it sounds like you've done already, then you need to place it in a vacuum (using an A/C evac pump) for at least 20 minutes to rid the system of moisture - if there is any air or moisture present when you add fresh gas, it will cause the gauge set to do some weird stuff - and can harm the system long term. It is also prudent to replace the drier at the same time.
The best way to correctly charge the system after repair is by weighing the refrigerant as it goes in, making sure it gets the recommended system weight, but it can be charged correctly by an experienced person monitoring pipe temps and gauge pressures. Too many people just throw the gas in and hope for the best!
This is only a basic overview, and there are a few other less likely reasons for your A/C to not function correctly, but I could go on about it all day!
Feel free to list your observed pressures/temperatures here and I'll do my best to help!
Cheers
Hugh