DOS WinOS2 won't even run on my newer machines (especially laptops, like my Lenovo T510, or L530), so the first thing to do, is see if it will run. Try both full screen, and windowed. Sometimes full screen will work, when windowed won't.
If it won't run, you can try DOSBOX (it is at HOBBES), which has worked pretty well, when I tried it (including sound). Of course, DOSBOX is available for other operating systems too. It has the advantage that it can run the latest Win 3.11, which OS/2 never could. You do need to install Win 3.11 in the supplied DOS environment. If you search the web, there is (perhaps 'was'), at least one, ready built win 3.11 package available for it.