Help with dirt-simple led array
You require a resistor for each LED.  The LEDs are not guaranteed to have identical characteristics so, if you connect them all in parallel, with a single current-limiting resistor, some LEDs will draw more current, and be brighter (and burn out sooner) than others.

Are you sure that the 30 mA/LED you show in your calculations is the recommended operating current, and not the Absolute Maximum current, beyond which the LEDs may be damaged?  You should never operate an LED (or anything, for that matter) at the Absolute Maximum rating.