Upvote:4
As @Relaxed stated in a comment, it's hard to know exactly. Your best bet is to apply, and if possible, write a letter pointing out the previous refusal and the reasons.
Contrary to popular opinion, many visa-processing officials are quite happy to help, and if any flags on your file are there, but can be logically and reasonably explained, they'll be happy. As long as there's no logical reason to turn it down that they can see, odds should be that they'll approve it.
However, this is also life and you may get the one visa worker who is in a grumpy mood :)
TL;DR - write an accompanying letter explaining what happened in the past, and include copies of the rejection if you have it and perhaps even a letter from your father to accompany. The more evidence and answers to any questions that they may have, the better it's likely to go.