Do you really have to apologize or are actions good enough?

My brother has been dating with his now fiance for 4 years. They just got engaged in Feb. In their 1st year (when they were boyfriend and girlfriend), I've done things to break them up, made her cried a couple times and once set her up (paying my friend's cousin to pretend to be the lover so he can supposedly ''catch her cheating''). That was me before. That isn't me anymore.

I was wondering if good gestures and actions are enough? Everyone in the family gave their blessing and congratulations speech. My speech was a briefly blessing and wishing them the best. I was honest about that but yeah I can tell she felt uncomfortable, thinking I'm up to something again.

I've tried inviting her over to the movies with my friends or giving her gifts but she never accepts it. That's my way of starting over. I'm a very proud person and really don't like yielding. I've never in my life ask anyone for forgiveness and frankly don't like apologizing. I struggle with just saying those two simple words. So are actions over time better?
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I really don't like saying sorry (even when I know I'm in the wrong and the guilt is killing me) nor asking for forgiveness. This is a struggle for me. I have a hard time with that.

It would be great if she could see I've changed and that we can one day start all over, maybe be friends one day.
Do you really have to apologize or are actions good enough?
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