Background check question

Hi all,

I have recently submitted applications to BB and have a question about BG check. I have some service industry management(un relevant) experience on my resume, and while I pretty much stopped working for the company (and collected unemployment) there were still a few things I was able to do for them that I was paid in cash for. I listed it on my resume for the 5 months that I collected the unemployment. The company is now out of business, management was extremely disorganized and I do not believe they would be able to get in touch with anyone who worked above me unless I gave HR their contact info. Should I do anything? I know employers can see unemployment records.