Some AP's or Routers have an option to accept or drop pings, you might want to chack that. Also have the option to block ssh, ftp and telnet ports to avoid access from the outside...
So I strongly suggest to read the user's manual to see the ping configuration feature if available in your router.
I see no problem in the connection, I can see you are very close to the router or almost no signal blocking issues, you have a 100% quality link, you have a valid IP assigned..Everything seems to be just fine.
Another option is to use nmap, it will tell you if pings are droped or denied by router...
nmap -A -T5 192.168.0.1 if no message on the ping, then try:
nmap -sP -T4 192.168.0.1 See what is the output.
nmap -sC -sV -sS -T5 -O --osscan-guess 192.168.0.1