Hi Rich:
After some time I noticed that the problem with colors is only with Java applications. In this picture you can see the application in the front, what is a Java application. At the side is Firefox showing the same picture with the proper colors:
So as I think this is not a TinyCore related issue, I have created a new thread at Java Forums.
By the way. Could you kindly recommend me a way to start X system in a more "gracefully" way?. At this time, the first text messages when the OS is loading are being output to the standard monitor (HDMI), up to when a "failed in waitforX" error is shown. At this point you could execute "startx". Only at this moment X starts for the Framebuffer Display as expected, and there is no more output for the standar monitor.
Thanks.