OK, let's take it piece by piece.
I think you are getting into the bootloader, because those messages you describe come up whenever you enter it. It looks just like the fastboot screen, except for different menu items and the label "HBOOT" rather than "FASTBOOT". And the key point is that, as SUroot says, you always get those messages. That is absolutely normal, and the problem with your ROM is nothing to do with those messages. So I think we can stop worrying about the bootloader altogether.
So, a couple more questions I'm afraid:
There should be a few lines of information about the phone before the word hboot - what do these say?
If you know, what software version was the phone running, any network branding, what nationality/region?
What is the problem with your ROM? What happens when you try to boot the phone?
What happens if you highlight the word "recovery" in the hboot menu and press the power button to select it?
The answers to these questions should tell us what model of Desire you have, what its original software version was, maybe give some clues as to what's wrong with your ROM and tell us whether you have a working recovery. Knowing those things will help us suggest a way of recovering the phone. Since you have fastboot access the phone should be recoverable one way or another - if it won't boot and you don't have a custom recovery we'll just have to identify the correct RUU for you to run.