Help identifying 2 things under my hood

Second unidentified hose. I've tried searching this before but no luck. My car runs a bit rich, so I want to at least rule this out as the culprit. At a minimum, shouldn't it at least have a bug screen on it? FYI my EGR system has been deleted and I have an LS6 intake. Any help is appreciated.
The hose coming from the pass side is for the HVAC trap doors that's why you'll need that line.
https://ls1tech.com/forums/generatio...g-threads.html
It's HIGHLY recommended that you do the upgrade to the LS6 PCV system: http://www.ls1howto.com/index.php?article=18






