Yes, the number represents how many search results found. If you click on any filter to the side, then you will see a number like 5/25 meaning 5 are being shown, the others filtered out.
Under the Quality column: The stars represent your chances of connecting to the host to download from. Four stars is best, one star is worst & least advised to choose. Various network conditions can affect this. Also the amount of slots or bandwidth the other person has available to upload the file to you. Dial up users generally only show one or two stars. A host who is too many ISP hops away from you may also show less than 4 stars. The Green ticks mean you have already downloaded that file.