Improvement

Its not really easy to predict how much you can improve in chess early on. One classical indicator used is blindfold play, and a specific knight exercise but even that is guess work. If you want to see how far you can grow in chess just keep studying and practicing!

If you really put time into it you could probably do it in a year or so. I'd say that up to about 1300 elo or so, there is pretty much no strategical understanding. If you don't drop pieces and keep your king safe you should be able to pass that rating. Passing 1600 elo is a little bit harder but is still not a lot of theory and for most players very much dependent on tactics.

Only if you use the tools available. That said, most tools are all available free online at various websites.

Concerning a premium membership. For now I'd just practice board awareness during games(see if your pieces are safe and if your opponent is dropping pieces(this includes thinking 2-4 moves ahead and king safety). I would only purchase a premium membership when you pass 1300 mostly to sharpen your tactical awareness and to learn some general strategy.

Tres bien, sullivantobias!  Keep working at a steady pace of concentrate on tactics and patterns.  I you get the premium membership the "Patterns You Must Know" and similar videos by IM Danny Rensch are very worthwhile. The tactics trainers here and at chesstempo.com - which also has an endgame trainer - are VERY important for improvement from your current level.  Learning the ideas behind a few openings is a good idea too and you should learn basic endgame techniques (rule of the square, principle of the opposition, philidor and lucena positions, how to properly mate with the various pieces, etc.).

"..., you have to make a decision: have tons of fun playing blitz (without learning much), or be serious and play with longer time controls so you can actually think.
One isn’t better than another. Having fun playing bullet is great stuff, while 3-0 and 5-0 are also ways to get your pulse pounding and blood pressure leaping off the charts. But will you become a good player? Most likely not.
Of course, you can do both (long and fast games), ..." - IM Jeremy Silman (June 9, 2016)
https://www.chess.com/article/view/longer-time-controls-are-more-instructive

i will try other mod yeah

I agree. Play games with long enough time limit so you can really think about the positions on the board. It takes time to evaluate possible moves and their consequences. More time to assess the position of the opponent and the possible pitfalls in potential moves.

And for what it's worth: studying openings is absolutely helpful, but thinking is even better. examine the board and think about what can happen. In difficult games I like to have a real life board where I play possible variations from the move I am about to make on line, especially when there are different options, mostly in the end game.