I guess you've moved from LW 4 to LW 5? Which version of 5 are you using?

1. If you mean number of search results (rather than hits) showing in the search tabs then no, that info's not showing in LW 5. You could post at this forum: LimeWire Forums & ask whether the devs plan on adding that to later versions.
If you want to show hits (ie how many times your files have appeared in peoples search results) then click on My Library > right click on the column header > put a tick next to Hits. Now that column will show.

2. Not sure what you mean here. Do you mean the download window (where downloads in progress show) or the search results page (where you choose which files you'd like to download)?
If you're in Classic view (see below) then typing in a title to search for will show that title below your search tab if you've already searched for that title in the current LW session... is that what you mean? If I haven't understood you then let me know

3. Switch to Classic View & then the search page will look similar to LW 4 (see below).


If you want to to have more info showing on that search page, click on the category (ie Audio, Video etc) & you'll see the option to show more info... like bitrate, album, extension etc. Put a tick beside any extra info that you'd like to see & a new column will show
You haven't said which version you're currently using. My screenshot is from 5.2.2 Beta. If you're using a 5.1 version then the categories will show at the top of the search page, rather than to the side as mine do.