Here are some bite-sized recommendations I suggest working on first.
TIME MANAGEMENT
As you have identified, the lack of thinking time is a huge area for improvement. Quite a few big mistakes were made by taking less than a few seconds to think about your move, without there being any real time pressure on the clock. When playing under a 10 minute time control, you had 4.5 minutes left on your clock after playing 53 moves!
If you eventually find the 10 minute time control does not allow you to spend a sufficient amount of time thinking about your moves, try playing with a longer time control.
THINKING PROCESS
It would be worth spending time researching a structured general thinking process. I am sure material on that topic can be found on this site, including the forums. I find anything by Dan Heisman on this topic to be quite good.
While I am not going to write a comprehensive thinking process for you, here are a few salient aspects you could start with (ignoring strategical positional considerations for the time being):
(a) Before thinking about your own move, make sure you have an idea what your opponent's most recent move is trying to achieve. What has changed in the position? Are there any threats (captures, checkmate etc.)? Is their move safe?
(b) When considering your candidate moves, scan the board for all checks, captures, hanging pieces, overworked pieces etc. A lot of tactics are found by performing such a check. At least understand where all the hanging pieces are on the board for both players.
(c) If you find a good move, look for a better one if you have the time. Sometimes it is difficult to resist playing the first move that instinctively comes to mind, but there is often something better available to play if you take the time to find it.
(d) Make sure your move is safe before you play it. A half-second check is too fast!
TACTICS
Do tactics puzzles. Take your time with each one and ensure you thoroughly understand the solutions of those you fail.
OPENINGS
Do not spend a significant amount of time memorizing opening lines yet.
GAME - CRITICAL POSITIONS
I did not look at your entire game in detail, but the following positions help illustrate why the recommendations above should help, particularly the short amount of time taken for each move.
Allows checkmate - game over on move #5 (make sure your move is safe before you play it):
Hangs a piece (make sure your move is safe before you play it):
Misses a material gain (scan the board for all captures & if you find a good move, look for a better one):
There are many helpful people here who will gladly comment on your games if you take the time to post them with your annotated thoughts. Additionally, posting losses, which are excellent learning experiences, is preferable to posting wins. Have a look at this sticky forum topic - www.chess.com/forum/view/game-analysis/read-this-before-you-post.
If this is the game you are referring to, you definitely need to slow down and think. Under a 10 minute time control, you had 4.5 minutes left on your clock after playing 53 moves!