I think you are handling things just fine, TENSION like this is probably to be expected, your father's paternal protective instincts are coming to the forefront..and you have to respect that, you ight feel the same way if you were him...Eventually, once he sees how HAPPY his daughter is to have her M back in good standing, he will back off from his stern stance. Probably won't be asking your H to catch a ballgame any time soon.. , but as long as he senses you're HAPPY..he'll deal with it...
As for your H..the WINNING Cindy of course realizes that if her H loves her the RIGHT way, he does not get scared off by this type of thing, and of course she DOES NOT WORRY ABOUT IT..
If your H chooses not to apologize, I can understand his viewpoint, but I would ecpect him to have his ACTIONS shine through and show your father that he really is COMMITTED to being a better H..that will hold more weight in the long run than an apology just to appease your father's expectations..
When someone is forced to apologize rather than freely doing so..it usually doesn't come off with the type of sincerity that helps things..