Here's a tip...easy way to check to see if the compressor is locked up before you put a belt on it...
Turn ignition on. Turn on A/C to Max or Norm, whatever, as long as the compressor clutch should be "on". If you hear the clutch "click" in and engage the compressor, then you likely have enough system pressure to keep the low pressure cutout switch from keeping the clutch disengaged. You'll hear the clutch kick in because it's kind of a distinct click noise. If in doubt, move it back to off, then back to where you had it and listen for it. If the clutch does engage, then try to turn the pulley by hand, preferably in the same direction it would as if it were running. This will tell you if it is free or locked. This will require a little effort to turn, but if it's locked, you likely won't budge it at all. The compressor is a pump so even if it's free, it will require varying degrees of effort as you spin it around. You can feel it trying to work. Likely a good sign if you get that far.
If the clutch does not engage when you turn on the A/C system, turn it back off and get under the hood on the passenger side. If you have a small wire to jump the low pressure cut out switch plug terminals (switch is located on back of the dryer- your last picture shows the top of your dryer and the switch is at the top) you can check the clutch by bypassing that low pressure switch. I don't recommend doing that except for this test if it goes that far. Just squeeze the opposite areas of the clips on the plug to release the clips so you can pull it straight off. While it's disconnected, use the jumper wire in the plug from prong to prong to complete the circuit. Then check the A/C clutch action again by turning the A/C back on. If you hear the clutch engaging, then your system is very low or empty, and likely suffered a leak somewhere.
Hope this helps you start diagnosing where you stand at least. As always, any advice given here comes with no liability or assurances on my part that it will work as described. In other words, consider it and use it at your own risk. I'm sure others with a lot of experience and a better set of tools can guide you better. But I've checked clutches this way before and it worked for me. Good luck.
Turn ignition on. Turn on A/C to Max or Norm, whatever, as long as the compressor clutch should be "on". If you hear the clutch "click" in and engage the compressor, then you likely have enough system pressure to keep the low pressure cutout switch from keeping the clutch disengaged. You'll hear the clutch kick in because it's kind of a distinct click noise. If in doubt, move it back to off, then back to where you had it and listen for it. If the clutch does engage, then try to turn the pulley by hand, preferably in the same direction it would as if it were running. This will tell you if it is free or locked. This will require a little effort to turn, but if it's locked, you likely won't budge it at all. The compressor is a pump so even if it's free, it will require varying degrees of effort as you spin it around. You can feel it trying to work. Likely a good sign if you get that far.
If the clutch does not engage when you turn on the A/C system, turn it back off and get under the hood on the passenger side. If you have a small wire to jump the low pressure cut out switch plug terminals (switch is located on back of the dryer- your last picture shows the top of your dryer and the switch is at the top) you can check the clutch by bypassing that low pressure switch. I don't recommend doing that except for this test if it goes that far. Just squeeze the opposite areas of the clips on the plug to release the clips so you can pull it straight off. While it's disconnected, use the jumper wire in the plug from prong to prong to complete the circuit. Then check the A/C clutch action again by turning the A/C back on. If you hear the clutch engaging, then your system is very low or empty, and likely suffered a leak somewhere.
Hope this helps you start diagnosing where you stand at least. As always, any advice given here comes with no liability or assurances on my part that it will work as described. In other words, consider it and use it at your own risk. I'm sure others with a lot of experience and a better set of tools can guide you better. But I've checked clutches this way before and it worked for me. Good luck.