2593 is the default port, in TCP.
I don't see any reason why UDP would be needed, there's no video, voice chat, or distant streamed sound/music.

Also, don't the config files have those informations?
 
well, if you can see the values, you can change them.
port 8080 is an alternative to 80, or if your isp blocks port 80 or if you are a bit paranoid that people might check your port 80.
port 80 is http.
port 2593 is the default port for the game, because it needed a port to be hosted on, probably EA have 2593(?).

You can put any port you want to host your server, mine's 2590 due to old reasons, you just have to verify if other applications are using this port.

Here's a list (huge list, it lags):
https://en.wikipedia.org/wiki/List_of_TCP_and_UDP_port_numbers.

And looks like UDP is "supported" for UO. Ohwell.
 
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