on my macbook pro laptop leauge sucks

I love league and i play it on anything i can. Including my school's mac book pro. but for one, when i first sign into leauge its fine but after i quit the application and i try to boot it back up i get stuck in authenticating until i reset my computer. which isn't that big of an issue. But the thing that's really annoying is that after one game of leauge. when the game client loads up it says i need to check my internet connection and try again. after about five times of trying to load the client. i just quit out of the game client and it brings me back to the main application but instead of it saying to recconect it just tells me to skip waiting for stats. i just say okay and do exactly that. turns out that counts as me going afk and i constantly get leaverbusters for it. additionally, randomly when i play the game. early in the game essentially crashes. in the sense that my ping spikes to the point where everything stops loading until i leave and try to load the cilent back up but it does the thing before and it says i can skip the stats but then i get leaverbusters.