You don't need big, fat, traces everywhere, although it doesn't cause any harm. Only the ones which carry current, to the load, i.e. the ones from, J2, to the MOSFET's drain, source, the 470μF capacitor and J1 need to be much larger, than the other traces, which can be relatively thin. Ideally the heavy current carrying traces should be solid copper pours, if possible. I don't know what the exact scale is. The traces look thick enough for 3A, but use the calculator, linked below, to be sure. Consider the trace length, the voltage drop, as well as the temperature rise.
http://www.4pcb.com/trace-width-calculator.htmlBy the way, please avoid using jpg format for drawings. It results in large files and fuzzy edges, which can make editing difficult. Please stick to PNG for schematics and PCB layouts. Look at the size of the files I posted and how sharp they are, compared to the JPGs. I also reduced the colour depth to 4-bit, to make the files size, as small as possible, but this can only be done with images which don''t contain many colours, without loss of quality: 8-bit colour will be fine for most drawings.