LLC with spouse questions - what to claim where

My wife and I have a home business.  It is a side gig--my regular FT job is outside the home.  In our state, it is considered a single-member LLC, so taxes are filed jointly.  Practically speaking, I do all of the work.  Should I be splitting everything 50/50 in regard to income, expenses, inventory, etc?  On a related note, when it asks if I "share this home office," what would be the correct answer?