No AC, then recharged, now compressor makes on/off clicking noise while running with AC on

SOURCE: clicking noise behind the glove box

The little box is called the blend door actuator. It is an inexpensive fix, and you should be able to do it at home. There are a lot of online step by step guides to fix it! Good luck, i hope it helps, i am having the same issue!

SOURCE: noise from front of motor

Yes the idler pulley can make noise, but not very common. It can do it though.

SOURCE: AC system, compressor not engaging.

Sounds like your a/c system is low on freon, system has a low pressure switch which disables a/c compr.so that it don't damage a/c compr, it would be kind of like running an engine with on oil it would damage an engine, what needs to be done is have dye injected in to a/c system to be able to fine the leak, once leak is found can be repaired and recharge with freon, system will work good after repair has been done.Good luck

SOURCE: A/C compressor clutch won't engage, system won't cool

Your system might be low on freon. Get a kit with a hose that has a gauge on it so you can see if you are in the "Good" range. The cycling switch won't close unless there is enough freon in the system. You can temorarily jumper the connector for the cycling switch to see if the compressor will come on. If it does, you are low on freon for sure. Do not let the compressor run for more than 15 - 30 seconds with it jumpered.
report back results.

SOURCE: How can I do my own AC recharge

Assuming you do not have a leak preventing a recharge, here are some basic steps on recharging:
http://www.aa1car.com/library/ac_recharging.htm

R134a can be purchased at any auto parts store..