I don't understand which traces are you talking about. Are you taking about SV3. I don't see where they are shortingThe 45-degree traces at pads are shorting.

My design with ground planeIn order to demonstrate good PCB practices, I would do it something like this:
I have shown it as a single sided layout with all traces on the bottom side.
If I were getting this made by a PCB house, I would choose double sided layout and put a ground plane on the bottom side. For this board layout, all traces except GND would appear on the top side.


I don't know why it is showing but when I add ground plane it is showing.What are those islands of copper for.? [marked Red]
Site showing connections of mclr pinOn the Reset pin #1 why are there two resistors.?
placed mounting holes on boardhi K,
BTW on the outer rows of pins are you planning inserting connector plugs, if so ensure you have sufficient hole clearance for the pins.
BTW: Consider adding a 3.2mm dia hole at each corner of the board for mounting
followed suggestion, removed long ground pathhi K,
I would suggest the ground line be kept short for the Xtal/Caps.

For ground plane I click on polygon tool, then select area and then give signal name and click on ratsnestWhat you have is a copper pour. It is not a ground plane because you have not yet connected it to the GND net.
Name the polygon GND.For ground plane I click on polygon tool, then select area and then give signal name and click on ratsnest