Yes both should go to turbo inlet PCV and BOV
PCV work under vacuum, you wouldnt want to load your engine with positive air or boost. All PCV does is get rid of gasses and blow by from crankcase/engine so you dont blow your gaskets/seals.
BOV- stock runs recirculated BOV not vented/atmospheric BOV, thats why it recirculates back to turbo inlet.
Go after whats easiest to do first. And easiest way to troubleshoot engine is start with stock(like it came from factory) especially for swaps. Troubleshoot then mod one mod at a time, so that way you'll know what might be the problem.
BTW, try to see if you have check engine codes on ecu, should have red led that flashes code.
Download service manual from here(site) and it should be in there how to retrieve codes and what they mean.
As for IAC valve Im not sure, but it does work the idle circuit-never had to fak with it. If Im thinking right KA or Sr might be same parts but Im not positive on this. But they do get plugged up with carbon once in a while, look up IAC cleaning or something on here like I said its similar to SR and KA(mounting might be different IIRC). All it is, is just a electric motor that regulates orifice/needle to let air in. Guess you could check electrical wires to it and it-self but its definitely in the service manual.
Here's the link if you dont have this yet,
http://www.nicoclub.com/FSM/rb/ , right mouse click and save to your PC, should be top one "R32 All engines", you kind of got to go through it and look stuff up for RB20DET, should be in EL-electrical section IAC and ECU codes.
Get back with your findings.
Matt