I think it's absolutely appropriate to share things from your own teenaged years with her. Teens aren't always particularly good at seeing their parents as real human beings, and this could be a door-opening experience for you two. I'm hearing that you want more talking, and she doesn't.
I suggest that you take her out -- just you two -- and give her plenty of time to talk about what she wants to talk about.
However, IF you have anything in your past that you might not want to share -- I'm thinking about drug use, an unintended pregnancy, etc. -- those kind of things would be better saved 'til she's considerably older. Or maybe saved forever; you're not obligated to tell your children everything. And it's okay to say, "I'll tell you that someday, but now's not the time." Or, "That's something private between just Daddy and me."
The other thing I use is other people's mistakes (that sounds wrong) but like my parents for example.
Oh, I don't think that's wrong! What's the saying? If you can't be good, at least be a cautionary tale? Teens think that nothing bad can ever happen TO THEM. I know that my 16-year old has been deeply affected by things that've happened to other students at her school: Being caught drinking, being in an accident while texting, etc. I can tell her all day long, "These things are mistakes!", but when she SEES and KNOWS that someone her own age was caught in one of those mistakes, and when she sees how severe the consequences are . . . it makes a difference to her.
For example, I've talked to my daughter about alcohol many times, and I know that she knew it in her head . . . but last year a couple friends of hers were caught drinking in some VERY bad circumstances, some very unique circumstances, and -- although she was not involved at all -- my daughter was very, very affected by what happened to them. Their punishment, their public humiliation was severe. I won't go into details, but I was shocked at how everything fell out -- one of those girls actually lost a BIG scholarship as a result of this little episode. My daughter was appauled -- appauled, that is, at her friend's bad choices. She saw how many other people were drawn into the problem, how many other people were hurt. She has two years 'til graduation, and I feel sure she will not be drinking in high school. I hate that those girls were stupid enough to get themselves into such a situation, but I'm glad that my daughter learned from their mistakes.
I wouldn't wish bad fortune on anyone else, but when someone we know has bad fortune, I do talk to my daughter about how that person could've avoided such trouble.
First example: I've always known that she had a boyfriend she dated all through high school, and that he died shortly after graduation from cancer. What I did NOT know (and what I now wish she hadn't told me) is that she feels he was her soul mate.

She told me how she loves my dad (they're still married) very much and is happy they got married, yada yada yada, but she thought HS boyfriend was her actual soul mate. I know she was just trying to be honest with me, but really... don't think it should have been said.
Yeah, that was definitely too much. I don't think a parent should ever share anything that makes a teen question her parents' relationship.
Also, I don't buy into the soul mate concept. I think there's any number of people who could be good spouses for each of us, and once we choose one we grow together -- or we don't work at our relationship, and we grow apart. I suspect your mom thinks of that lost boyfriend as "perfect" only because they had the magical first-love feelings, and they had those great years together . . . and -- unlike with your father -- she never had to deal with
real life with him. The two of them never had to choose between replacing the dishwasher or the lawnmower, never had to deal with disciplining teenagers, never had to deal with their aging parents together, etc. All of us get frustrated with our spouses at times -- but she romanticizes that old boyfriend, the one with whom she never had to go through any adult conflicts -- and imagines that life with him might've been perfect.
No worries about drinking and alcohol yet and she does realize alcoholism and drug addiction are issues with both sides of her family although doesn't everyone believe it won't ever be them?
That is a subject you should talk about! My family also has a history of alcoholism, and I've talked to my children about it since around the time they started middle school. I want them to understand that their genetics are working against them, and they have a greater risk of alcoholism than does the average person. I do think they understand that.