In this article we show that a contra second countable bitopological space is a $p_1$-Lindelof space. but the converse is not true in general. We provide suitable example with the help of concepts of nest and interlocking from LOTS. The relation between pairwise regular spaces and $p_1$-normal spaces is studied. https://www.cuttingedgecutleryco.shop/product-category/tactical-umbrella/