My 02 civic's A/C has been blowing out hot air recently so I decided to recharge the system with 134a refrigerant but afterwards, I found out that hot air was still blowing out. What could be the problem?

Some people tell me it coluld be a leak, but I want to check every possible thing.

 

Does the compressor engage when you push the A/C button? When it engages you should hear a click from the compressor and the plate next to the pulley will start spinning.

 

no click is heard when the a/c button is on and the dial is on full blast