And, suddenlly it occourred to me to se which default route it had.
It had one but was wrong. So I corrected it (by hand, so far) and bingo! Now it can be accessed!
So, I'm also on the go on that front!
In fact, I'm already using it as the outgoing path from my computer.
Nothing as testing everything thouroughly before commite it into the main stream, isn't it?
Well back to work!