The HDMI standard was published but never fully embraced by all vendors so not all of the stated differences between 1.1, 1.2 and 1.3 are true.
1.3 is what you want, because some implementations of 1.1 and 1.2 do not pass both audio and video.
Having said that the PS3 is HDMI 1.3 compatible as well as your HP laptop. Your TV should be 1.3 also.
You should be fine
Most anything new in the last year or so is at level 1.3, you just need to careful with some older equipment that specifically states 1.1 or 1.2