Does authorship matter?

In some fields, authors have equal weight on a paper, but in my field (mechanical engineering) people care where their name appears. However, I am not sure how much the authorship is important when applying for an academic job. When reviewing the list of publications, do people check the authorship too?

Does it matter that I am first author or corresponding author? Or just they consider that I have publications in high impact journals?

Does sole authorship have a higher credit? In co-authorship, I have contributed a part of the research (maybe trivial). As a sole author, I have proven that I can handle any part of that work. Or hiring people prefer teamwork?