You sound like you need to slow things down a bit and take care of yourself, as a priority. Do you have someone to look after you and provide some much needed pampering and emotional support? Hopefully your hormones will settle more as your pregnancy progresses and you will start to feel a lot better. In the mean time I often find a good weepey film (or 2) with a box of chocolates helps. Let it all out and blub if you need to.
Hope your dad recovers, but I am sure he wouldn't want your health and the babies to suffer for the sake of visiting him a lot. Maybe try to limit the number of visits per week, if you can bear to.
Also get your dr to sign you off work for a rest if you need one. He doesn't have to say it is pregnancy related.