What happen if i connect the capacitors with few LED Strip in parallel?
1) Will the voltage drop [through] every LED Strips be the same???


Yes, because they're in parallel. Which means that if the LED strips are different lengths, the voltage drop through each LED won't be the same.


  2) Is the discharge time for capacitors [the same] as if I use one LED strip? 


No, the current through the capacitor will be higher so it will discharge faster. You could use a higher-value capacitor to compensate for this.