For the mini-find, how I used the original find, was I would hit F5, type my search, hit enter. It would go to the first match from the cursor. Then I would use shift-F5 to go to the next match. I always have "wrap file" enabled also. Leaving the mini-find on the screen is ok (to me anyways)during find-next, if I can get this same behavior..
CTRL-A in the search/replace dialog was a shortcut for the "Replace All" button.. So F6, enter search, tab, enter replace, CTRL-A.