I am sorry to say, that a largish portion of the army is illegal. You cannot take GK landraiders or Dreads without a Greyknight HQ choice.Also, GreyKnights cannot take transports, as they have no option to do so.
Besides that, Inquisitors are quite terrible in close combat. Low S and T means that they will not be able to dish out much hurt, and will suffer a lot of wounds. They are very easy to instant kill as well. Plus, they suck up a lot of points.
If you really want to go melee, then you need to take a thunder/daemon hammer. That way, you will wound on a 2+ against most things out there. You'll strike last, but it's well worth it in order to actually have a guaranteed chance to wound things.
Storm troopers are fine, but they are stuck in the open and will be quite vulnerable. May be worth while to find a way to give them transports. Sticking to same weapons in each squad will be a reassurance as well. Two meltaguns have a much better chance on killing a tank then one, for example.