You will have most likely have to pull the dash out and either replace the evaperator and expansion valve or get them flushed. By the looks of the picture you will most likely need a new compressor. This is due to the fact that when the hoses have been removed they havent blocked anything off.
Personally if you really want the ac id replace everything.
Compressor, condensor, receiver drier, evaperator, expansion valve and all pipes.
It doesnt take much for an air con to have problems and from personal experience working with ac systems there will be a great deal of contamination in the system and without a full replacement it will continue cycling through the system giving endless problems.