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 Shoe Scrapers nest and interlocking from LOTS.The relation Manicure Sticks between pairwise regular spaces and $p_1$-normal spaces is studied.
At the end, we propose some open questions which may enrich various concepts related to Lindelofness in a bitopological space and other areas of mathematical ideas.