All gears are going one over to the right I’ve got a couple of problems here. I don’t know if they are all related. 
Problem 1: it doesn’t always shift into the big ring in front. Usually, I have to slow my pace down for it to catch and also go to the biggest cog. But that still only works sometimes. 

Problem 2: The chain won’t go to the largest big in the back when I try to get there. It doesn’t matter which front ring I’m on. 

Problem 3: Similar to problem 1. When I go down to the smallest cog, the chain falls of and goes between the smallest cog and the frame. Basically, everything is shifted one to the right. 

Any solutions?  The bike wasn’t very expensive to start with. (Surprise, surprise). It’s more cost effective to fix it myself than to take it to a bike mechanic.
As Criggie said in his answer you basically just need to adjust both the front and rear derailleurs. This is well within the capabilities of a home mechanic if you know what you are doing. Trick is knowing about limit adjustments (prevents the derailleur moving too far in or out) and indexing adjustments (aligns the derailleur over the sprockets or chainrings. What really helps is a article or video that walks you through the process step by step. Park Tool has particularly good ones that are clear and easy to follow.

Rear derailleur (do the rear first): https://www.parktool.com/blog/repair-help/rear-derailleur-adjustment

Front derailleur: https://www.parktool.com/blog/repair-help/front-derailleur-adjustment