1. The crystal oscillator probably does not have enough current drive to illuminate a LED2. It doesn't sound like you have a current limiting resistor, so if there is enough current you will destroy the LED3.The eye does not see a blink at frequency above ~40-60Hz. The eye averages it- just like the light bulb turns on and off at 50Hz, and you don't see it. Your crystal, no matter what its value, will be many time higher than 50Hz. Under some circumstance you may get the LED to light, but visibly blink- never.To get it to blink you will need a divider circuit. Let's say your oscillator works at N Hz. to blink three times a second you will need to divide N/3. This is likely to be a very big number, but there are some ICs that may do it. We first need to know the frequency, and before you go to all the effort you need to know if the oscillator works. DO you have access to an oscilloscope?
