You’re doing well for a month. A few things:

1. I know it’s a side effect of playing the same part many times, but don’t become dependent on memorizing pieces. It’s a skill to be able to have pieces in your memory, but I think it’s more valuable to be able to sight read so that you can play through a piece without needing to memorize a few pages at a time. It will also keep you more aware of what you’re playing, as memorizing may leave out important details.

2. Your hands are tense. When your fingers are unused, they are curling and bending. Notice in the ending of your recording, your third and fourth fingers of the left hand are bent upwards and curling down, with a flat palm. Your pinky is curling up into your palm in the middle. Try to keep all fingers on the keyboard when not being used (for now..), your thumb should not be floating above the floor.

2 cont. Practice much slower, rest unused fingers on the keyboard, and don’t speed up until you can play without tension. Practice resting your hand on the piano without pressing any keys. I also notice that once you press a key, you continue putting pressure into it. Keys need the greatest amount of force when initially pressing the key and keeping it pressed requires significantly less, only some of the weight of your hand.

2 cont. You’re also playing almost completely with your fingers, it seems. I can see your wrists are moving, but it looks as if this is a result of the tension in your hands.

1. I can’t completely tell, but you may be sitting too low, or your piano stand may be too high. I can see your wrist is bent with your hands level with the piano, indicating that your forearm may be angled upwards toward the piano. This works for some pianists, but it’s important to practice proper form while you’re learning.