Hello, while I was trying to put it in private mode, I could not find a private icon or button. Can someone tell me how to fix it, or tell me what’s wrong with it.

Hello, Skynox_.

Let's start off by checking the helpful steps in this article that was linked to your question: Turn Private Browsing on or off on your iPhone or iPod touch - Apple Support. It explains:

"How to turn on Private Browsing:

1. Open Safari on your iPhone or iPod touch.
2. Tap the Tabs button .
3. Tap [number] Tabs  to show the Tab Groups list.
4. Tap Private , then tap Done."

Let us know if we can help with anything else at all or if this doesn't settle your issue. Thanks and have a fabulous day!