[Q] Change the Galaxy Tab for a Galaxy Note?

Hi! I'm new at this forum and recently bought a Samsung Galaxy Tab 3 10.1 tablet and I'm not really sure what to think of it yet. I was looking for a tablet I could use exceptionally for college purposes: to write essays, to take notes, to browse the web and essentially manage my college life (and of course watching a couple of movies from time to time ). I found the Galaxy Note 10.1 on the internet and fell in love with it, but the Galaxy Tab 3 was on sale on a local store and I read some good reviews about it so I bought it. I found out that it lags so much it becomes irritating and reboots at least once per day. I eventually installed Nova Launcher and the lag almost disapparead but it still happens when I'm browsing the web from time to time, and the reboots still continue , so I may return it or ask for another one. I read a couple threads saying you could root the Tab and use it for note taking too, but I'm not sure about rooting it now, since I will lose my warranty and I need it now because I'm in my first year in college. The display resolution really doesn't bother me that much, of course a better resolution screen wouldn't hurt a thing, but what I really want is something portable and productive so I don't have to carry around my laptop which is very heavy...

Should I buy the Galaxy Note or stay with the Tab?

Thank you so much for all your replies! After reading a lot of reviews I decided to buy the galaxy note 10.1. (2012 version) and so far i'm very happy with it! I hadn't browsed a lot about the android version problem so i didn't know that it was so far late in the android version but in my case i don't find it a very big issue and i'm very happy with it, there is no lag at all (even when running a ton of apps). The only problem that i encountered was changing the wallpaper so it fits perfectly on the screen, because everytime i tried to change it im forced to crop the picture and turns the oicture to a crappy resolution... I was a little afraid since I hated the tab but so far so good. Of course I hope they update it in the future. I've been searching the web about roms and roots but I understood nothing... can someone enlight me or direct me to a topic where it is explained? My note is the gt-n8010. All I need is a shiny new cover for my note and i'm a very happy costumer! And maybe in a few years i will buy the next version