No and no. A longer life (extra power) battery will last longer, which is useful, but won't make your device any faster. A larger capacity media card will hold more media, but unless you were out of memory, also won't improve your performance. Where did you get your information?
Thats just your devices memory card. Its more like the less media you have stored the faster it will open the media folder and reboot time since there's less to load up, thats about it, along with whatever else is stored on the phone.