When you make obvious mistakes like this, especially when time lines are not in sequence, your credibility goes down the tubes and people will have a hard time believing you, and consequently not trust you.
So rather than thump your chest and drag your knuckles on the ground, come clean and be honest, and people won't feel like they are wasting their time with you and then the inverse will also be true.
Finally, the item with regard to your dad was only indicating your relationship with him as being strained. I wouldn't want you to strain it further in order salvage your ego.