rough idle and jumping rpm is most probably due to an air leak - sucking air via that wrapped brake hose. Also, check if the hose that should be connected to a purge valve is really connected. This hose is routed from IACV bybass -> over the driver engine head (bellow the loom casing, over the plug leads) -> behind the engine -> connects to the purge valve on the back of the passanger engine head (on your pics it seems that the connection for this hose on the purge valve is broken off).
I will take the pictures on my car this afternoon.
Can you get a new or good used brake vacuum hose?
PS. can you control heating, turn it off and on?
I think the brake hose is just fine but it seems to be wrapped up after the vacuum lines disconnected from it then mechanic didn't reconnect them rather,he wrapped it to prevent the air leak , at the same time he left the original disconnected lines free and the next garage did not fit them properly( they have no idea what a vacuum system could be). So i think if I unwrap it it should be able to be ready for new lines connections.
As for the hose coming from iacv is connected but not really sure if it is connected to the purge v .I am really confused about it.
All I see here behind the driver side engine cover is a mess as this pic
<a href='
https://postimg.org/image/402tkd5y9/' target='_blank'><img src='
https://s16.postimg.org/402tkd5y9/IMG_20161012_113531_BURST001_COVER.jpg' border='0' alt='postimage'/></a>