Yes! Yes!

I don't understand why the lady just can't come outside to give you the item.

Maybe because the entire process is a trial, as in "Cave of Trial"

I still need to do that JQ, but if I remember correctly, you have to do the Adobis PQ first right? I would love to try this (maybe) hard JQ.

Zakum JPQ is actually the easiest...if you memorize the steps there is almost no way to mess it up (exception: GMS lag spike). Arguably Kaede Castle JPQ is the hard for being the only JPQ where you can't time it and Crimsonwood Keep JPQ for instant death. Ones with time restrictions like party/guild quests and event maps tend to be much harder because of the pressure orz

 Spoiler

From personal experience: (Guild Quest>Kaede Castle>Florina event>)Ellinia>((Watermelon event>Mouse event>)Kerning>Sleepywood>Zakum>Cw(>Ludibrium quest>Henesys PP>Ludibrium PP>Dragon Rider PQ>Magatia)
I completely forgot what the Phantom Mansion PQ was like and I don't have a Bishop. The only JQs I still remember are Zak, CWK, Guild, Kaede and Henesys Pet Park. Take the list with a grain of salt. No, I didn't separate out Ellinia, Kerning and Sleepywood based on different quests.