ASIO should have no effect on WinAmp Or WMP, they should run on WDM.
To make MC wirk proerly install the ASIO driver and open MC, go to options Audio and set the playback and record timer to Lexicon ASIO. Set to to 16 bit 44,1000 sample rate to start with. Next go to the system tray (far right corner of scree, and open the lexicon applet. Make sure it is set to 16 bit 44,100 sample rate and around 512 buffering rate Go into MC and import a MP3 file or wave file from what ever folder you keep such creatures in and once it loads hit play. You should hear the file or song play through the speakers if they are attached to the lexicon.
Now go to the internet and download a free midi file
http://www.findmidis.com/ right click a file and save target to the desktop. Go back to MC and open a new file. go to file and hit open and direct it to the midi file.
Once it is open go to the synth rack at the tool bar of MC, and open it and add TTS .
Now close the synth rack, and go to each track of the midi file and set the output to TTS, and hit play. Should hear midi.
All should work well for you.
Later when comfortable experiment with 24 bit recording, and try using 256 buffering it will get your latency down some.