Well, you''re just missing basic tactics, as you'd expect for someone rated in the 700s. Continue working on your tactics, you should get better over time.
You also might want to read up on a basic tactic called "counting". The article starts out easy but gets harder near the end. You probably can just read it until it gets too hard, then set it aside until some time in the future:
You also might want to read a book that explains all of the different kinds of tactics. Or, maybe visiting the "Predator at the Chessboard" web site might work just as well: http://www.chesstactics.org/
The world needs checkers players too!! 
One thing I would suggest is stop playing bullet / blitz until you're more comfortable. Fast games are great for practicing what you know, but terrible for learning as you don't spend any time expanding your thought process.
Ideally if I were teaching someone new to chess I would have them play all of their live games at the very least in 30 minute time controls, and preferably spend more time in correspondence / daily chess. Before each move ask yourself the following questions: what (on both sides!) is being attacked? What is being defended? Which of my pieces are active? (doing something useful) What about theirs? Is there anything I can do that will attack multiple pieces?
Just answering those basic questions for the current turn will probably give you nearly a 1,000 rating on this site. In the beginning it may take you awhile to answer them every time. In daily chess if it takes you an hour, great! You'll learn more in that hour than in playing an hour's worth of blitz where you only do what you already know. Once you get to the point where that's all simple, then start expanding what questions you're asking and start thinking about the next move after your opponent's response.
Just my two cents. If you took two players of equal skill, one played 5 blitz games a day just pushing pieces and the other played 1 correspondence game a month and gave every move serious critical thought, the second player would destroy the first in a few months time.
1. Opening Principles:
Control the center.
Develop minor pieces toward the center.
Castle.
Connect your rooks.
2. Tactics...tactics...tactics...
How are your doing on ChessTempo? I see on the tactics trainer here you've had 29 attempts in 22 minutes and have only gotten 4 correct. You spent less than 20 seconds on many of the problems you failed. Give yourself time to examine and analyse the position. Take your time and focus on solving the problems correctly. If you're not certain don't make a move until you are, or until you've analysed the position for at least four or five minutes. I agree with pfren no more blitz, and that goes for your tactics training as well. 30-60 minutes of tactics training every day is excellent but please make sure it's quality training.
I've also annotated one of your games for you to study. That should help you with some of the basics.
"If you feel too impatient for daily games then it may be a problem."
Chess mastery is not for impatient souls. (or likely mastery of any skill, really...)
Relative values:
Pawn: 1
Knight and Bishop: 3
Rook: 5
Queen: 9
First lesson is, try not to lose any pieces. This includes making trades that favor your opponent. For example trading a rook for a bishop. The rook is worth 5 and the bishop is worth 3, so you lose some material.
It may not seem important, but try not to lose even a single pawn.
Second lesson is opening principals:
https://www.chess.com/article/view/the-principles-of-the-opening
---
Play maybe 50 games with these things in mind. Try as best you can to follow the opening principals and to not lose any material.
Then learn some basic tactics (forks, pins and removing the defender).
Best advice ever when my rating was 800: http://web.archive.org/web/20140709054434/http://www.chesscafe.com/text/real.pdf
Oh, and realize that every move of your opponent will change at least two things: newly attacked squares, and newly undefended squares:
In the 2nd picture, newly attacked is marked by a red dot. Newly undefended by a purple dot.
This is how a lot of pieces are won and lost by beginners. Check the newly attacked squares to see if they're threatening to win something of yours. Check the newly undefended squares to see if you can win something of theirs.
And yes, it's simple. We all check on some moves. But your goal is to check on 100% of the moves, in 100% of your games. Eventually you do it automatically, without having to think about it.
I'm a young player (13) and I play at a very low elo and I can't seem to improve.
i'am much the same myself but recently made a startling discovery that really turned things around for me! instead of watching TV i started setting up the chessboard. seriousy, i wonder how many people are wondering y ther game sucks when they spend more time watching "dancing with the stars" than they do playing chess:)
Really, actually it sucks watching rich people calling themselves poor.
I'm a young player (13) and I play at a very low elo and I can't seem to improve.
i'am much the same myself but recently made a startling discovery that really turned things around for me! instead of watching TV i started setting up the chessboard. seriousy, i wonder how many people are wondering y ther game sucks when they spend more time watching "dancing with the stars" than they do playing chess:)
I never watch tv 
Eh,me too I'm a not an apt learner. I couldn't beat a lvl 2 bot
I'm a young player (13) and I play at a very low elo and I can't seem to improve.
I know nothing will get me to grand master instantly but I don't like this elo as the wait times are very long and I believe I can do better.
I will add some games so you can review them if you like but are there any tips for someone like me.
I do 30-60 mins of chess tempo every day and have done beginner and intermediate lessons on the website.
Thank you!