As for green days:
at the beginn of your cycle they are safe with 99.3%
after confirmed ovulation in the second half of your cycle they are 100% safe. Thus on those days you can enjoy love without hesitation.
Let's be truthful here, ALL green lights are 99.3% safe, no green light is 100% safe and it is important to know that. There are women who have gotten pregnant on "post-ovulatory" greens, an example right
here. Ladycomp very rarely gives false greens where it mistakingly thinks ovulation has happened, but it
does happen.
All that said, 99.3% is pretty darn good. It is important to remember that only abstinance is 100% safe, and that it is important to be comfortable in your choice of contraception. If 99.3% safe is not enough for you, ladycomp is simply not the best birth control method for you, and you should continue to research other methods that are better suited for your individual needs.
I trust my ladycomp completely as I have never seen a false green in the almost two years of using it, it has always kept me safe. You can check out my chart in my sig to see how the reds and greens are distributed in my cycles.
As for red days, we do anal and oral. I hate condoms with a passion so we never use them either. If that is not sufficiant for you, there are many different barrier-methods other than condoms you can check out. Such as a diaphragm, sponge, cervical cap and probably a ton more I'm not familiar with.
Good luck!