Data is turned off, but i still get notifications?

I have an iphone 5c. The main data switch is turned on, but for apps that use a huge amount of data like snapchat, facebook, and instagram, I have data switched off. Yet I still receive notifications for these apps? Ill get the facebook notification on my lockscreen, and then go to the app, and it says it can't load. I want to know how this is possible and how I can make it stop. I don't want to completely shut off push notifications, because sometimes I do want those apps to be on data, but most of the time I don't. Why aren't they completely disconnecting when I have data turned off for them?

I think I accessed the dark web?

Okay so I was going through an article and it was about dark webs.
They even provided the link I didn't know what a dark web was before so i just clicked and it kept loading and loading.
After that I read about the web from the small summary given on the article I got so disgusted and horrified that i closed the dark web tab (it was still loading).
I researched some more about what a dark web was and all
And now I'm scared what if someone knows my Address and all.
Btw it was one my IPhone

It it a scam that i have to pay 650 dollars for an iphone 5S?

Its a 32gb. So i put down 150 dollars on the phone and iv been paying 25 dollars each month ever since june of last year. And i'm suppose to pay the 25 dollars each month for 24 months which the total is: 750. Am i getting scammed? Cuz that phone is out dated. This is at consumer cellular. There they are charging 750 for the iPhone 6s. So why are they charging me that much money for my iphone 5s when i can get the iphone 6s the same price. Makes no sense.

How likely would my iPhone case break?

I just bought a hard cover liquid iPhone case (the kind with the glitter in it) and I noticed that the next day the bubble inside got twice as big as yesterday! IIm trying to find where it's leaking but I can't seem to detect it anywhere. My phone doesn't seemed to be corroded or oily from any leakage. Should I still use it?