From what I can see, you should be able to run most heroics without any issues. 12khp 490def and everything else looks to be good. Judging from your wep you're doing the SSO dailies for the shield and neck.
Might want to also run BM a few times for the rep which will allow you to get the helm enchant.
Also, if you're keen, starts running H Mech as often as you can for the Sun Eater - took me about 20-30 runs, but it was worth it.
In terms of doing heroics though, you should be sweet - once you start getting those badges new options will open up
No matter how fast light travels it finds the darkness has always got there first, and is waiting for it. - Terry Pratchett