As for your puzzle solving, you seem to not be spending enough time on your puzzles. One the ones you solve (incorrect or correct) you seem to take 20 seconds - 1 minute solving, this is too fast and you are also doing too many puzzles at a time. All your most recent puzzles were done on Oct 15. The problem may be you are doing puzles the wrong way. I recommend doing a max of 15 a day, if a puzzle is too hard for you and you can't seem to figure out a solution even if you spend 5 minutes on it, that is good. Once you do solve it (prioritize actually solving the puzzle over getting it done quick) you will remember it since it challenged you. If you can look at a puzzle and quickly see the solution, it doesn't help you. The goal is for you to practice calculating these tactical sequences.
Summary:
- You should spend over a minute on a puzzle calculating all the lines you find reasonable. - Calculate until the decisive move (mate, winning material advantage)
- harder the puzzle is, the better for your improvement (especially calculation)
- Don't do too many puzzles at once or you won't retain the information that you took in while doing them.
- Make sure to spend a good amount of time playing games, puzzles alone won't help the rating increase.
- Prioritize solving the puzzle correctly. If you get one wrong, check with the engine to see why your solution was wrong, and how the correct solution works better than yours.
Lastly, don't worry much about puzzle rating or your rating. If your skill increases then naturally, so would your rating. Enjoy the process, it is essential for motivation. Good luck on your improvement journey!
both the statements are correct
tactics are very important for improvment but if you only practice tactics then you will be tactical Wizard like Tal because Tal had a very strong tactical vision but didnt used to calcculate those properly.It is very good when you are young but as you become mature you learn positional chess calculation endgames openings etc.