Hi Elias,
First I would to thank you for such complete answer! Now it seems clear what I should do. That was better than a tutorial. 
Thank you also for taking a look at my store and point out what I should improve! I took a look at my speed test and its really not doing very good, and I will do what you say and take a look in the apps, to remove some. It really took a lot of effort to build a store that looked a little professional, because it was our first store, and we also did all the banner and everything. We bought a Canva course and learned from zero. Pretty hard, but we didnt need to relly on designers and we could change everytime we wanted. Its our second month running.
I am changing the store to use a more stronger (more convincing) name. The actual name its kind of abstract to the customers, so some of them may not feel related or dont trust on it, and we are focusing in only two types of products (earphones and smartwatches). Feels right?
I didnt know it could be done, but keeping the same store and changing only the main domain would be the best and easiest solution I guess (and good for keeping the purchase data), I am just worried about Facebook ADs if it would create some kind of problem, being the name of the store in shopify having a different name that the destination page. Does the facebook have this kind of access or they only check the main domain?
Thank you very much!