No. The keys were given to Peter alone, the other Apostles were given the power to bind and loose but not the keys. The keys symbolize real authority see Isaiah 22:22. Christ was preparing His Apostles to continue his work on earth; to take to his sheep the Gospel, to feed and teach. Peters particular and singular position within the fraternity of the Apostles is again stressed in John 21:15-17
Paul rebuked Peter for being weak, not for teaching false dogma. Peter was a weak and sinful man; quick to anger and slow to catch on and yet Christ chose him to lead His Church. This gives hope to we who are weak, sinful and in dire need of correction.
Your suggestion to study scripture is laudable, but ask your self this: why do I study Scripture? Is it to mine for the errors of other or is it to draw closer to the living Word? Keep always in mind the Ethiopian eunuch and his need for a guide.
May Christ increase. May Rome decrease.
Nothing more to add here.