Okay guys, noting previous posts....
In Washington, (where i originally experienced this problem), I had re-connection problems at home.
However in Florida, I have no reconnection problems at all (just major lag). Although this points to ISPS issues like RIOT has suggested, a following Coop AI game reaffirmed my suspicions.
Coop AI is you + 4 others with the RIOT servers. When i was loading, i had 999 ping. When i was playing, i had 500+ ping until somebody left.
Usually, Laquinta Wifi is not slow, as the load speed of Leagueoflegends.com and patch services were fast. Due to the ping experienced in Coop-AI, i'm starting to think that this lag issue is related with the servers....not the ISPS.
In previous posts (page 53-52), some people already noted the curious ping issues with home/outside. This means that my situation is not isolated, and quite widespread.