i. Yes. Only the assigned application assigned to ineligible entity forfeits eligibility for discount.
ii. If pro se inventor's income is affected by the assignment transaction in a manner that gross income crosses three times median house hold income of preceding year than only following applications (also if the application is the sixth application with USPTO i.e. beyond previous 4 + current 1 which are eligible for micro entity status fee exemption) are not eligible. Issue fee and maintenance fee of other applications and granted patents may also be affected on the basis of income.
iii. micro entity status is linked to the "person" i.e. the owner and available only to pro se inventor on income basis and institutes of higher education and employees of higher education and guided by 35 USC 123 (https://www.gpo.gov/fdsys/granule/USCODE-2012-title35/USCODE-2012-title35-partII-chap11-sec123) and 37 CFR 1.27