Caron,
Without knowing more details about the lies, the conditions of the break, and where he is, it is difficult to answer your questions. Consider that relationships are built on trust, and even though you have a rational reason for why trust was difficult for you to honor, he may or may not forgive you. If you want to talk to him, give it a shot. Be prepared for rejection or blame, or for him not to accept your “excuses”. That’s between him and his heart.
Have you started a treatment for the bipolarism? Sometimes if you are given meds, they take a few weeks to take effect. You may wish to stabilize prior to trying to communicate, but its up to you.
With warmth,
Matt