I had slight lag when I used bluetooth keyboard, very annoying. Now I use a wired usb keyboard and it's perfect.

In terms of the mouse I do think it's slight latency because of the TV.

It's not even full on lag. Sometimes it works great, then out of nowhere my character stops running because the keyboard had a split second lag. When I move my mouse back and forth it just stops for a split second and then keeps going.
But this is just weird, and not normal. Never experienced this.