I need y'all's honest advice, please.

I recently came into a lot of money free and clear. We're talking about in the mid 6 figure range. It's a blessing because I have been living off of my savings and the job hunt isn't going so well. Interestingly, I won 5,600 about a month ago at a raffle. My luck is crazy in 2015 but the job hunt luck, not so much. My credit cards and all my debt is paid, my car is older and paid for and runs like a top. I have no real expenses.
Not knowing anything about investing (and never having much reason to) I asked around and have gotten recommendations for advisors to talk to. Yeah, some fees can be steep but I don't want this money to depreciate with inflation.
I am going to delay gratification for a year. Nothing more than a few hundred bucks. I am taking my GF out to dinner, giving some money to my dad for his house renos (he has helped me tremendously in life) and maybe a new rifle for around 700. That's it.

Once my sister found out I won, she's been calling me. Her relationship has been strained by the fact that she moved away after shacking up some some guy I get really bad vibes about. He has an extensive criminal record. Violence, prison time, robbery, etc. Of course she says he's turned himself around.
She was bragging a few months ago about his successful business in construction, etc.
Before I came into this money, we talked on the phone and she confided that they broke up because he wasn't working, etc. and they have been saddled with debt. Soon as I have this money, he's back in the picture. She's planning to move back and he's planning to come into town to be with her. What a coincidence...

Anyways, she basically implied that I should give her money to pay off her debt. Somehow she's accrued around 45 thousand in debt, including a car payment. The car is just silly. She will buy a new car, keep it for 2 years with like, a 7 year payment plan and then roll her old loan into her new one. In the 10 years I've had my current car, she's had about 6 or 7, no joke. She raves about them, then after 2 years she hates it, neglects it and trades it in at a loss.

I talked to her. Despite her boyfriend working, her getting support from her ex husband for her children, some kind of subsidy for living, etc. they seem to have accumulated about 25 grand in debt in about 10 months (so in excess to what they've brought in).

She wants me to pay off her debt. I don't want to for two reasons 1. It's her debt, not mine.
2. I can't differentiate her debt from his. So if I pay it off, her deadbeat boyfriend's debt is with it too. I'm paying off this guy's partying debts. 3. If I do pay it off, it'll encourage her to get more debt. It's her bad decisions that got her into that situation.

I've been thinking about investing my money and when I earn some money through my investments, take some of the profits and directly pay off her car loan. And then tell her that's enough. That way it's her car, and her boyfriend's debt doesn't get twisted in. And if she wants to sell it, fine.
But I don't want to give her from the principle. I gave her 2,400 bucks so far via wire and she acts like I gave her a penny. Pisses me off.

What say you?