Will the new bbs air 2 ck rims fit my 92 honda civic 4 door ?

Nope, the lug pattern is completely different. Your car's lug pattern is 4X100, and the Air II CK's only come in 5X112, 5X114.3, & 5X120. Meaning that your car is a 4 lug and the rims are a 5 lug with wider spacing between the lugs.