Here are a couple of suggestions for Italian and Steaks fairly close to LAX
Encounters-This restaurant is actually on the grounds of LAX. Why waste time when you can just walk to this place? The food is good and the view is even better. You will not be rushed at this place.
http://www.encounterlax.com/
Proud Bird-This restaurant is located on the edge of the run way of LAX. This place is expensive but it will fit within your budget. The food and the staff are good. Ask for a window seat so that you can view planes landing. My wife still flips out whenever a plane passes by. This place is best for wine choices.
http://www.theproudbird.com/
Houstons-This restaurant is within a 1/2 mile of LAX. You can get both Italian and steaks at this place. Everything, everything is good. This place is proboly the best of the 4 for mixed drinks.
http://www.hillstone.com/
Il Fornaio-This place is within 15 miles of LAX. The food is good and the prices are reasonable. I mention this place because it's directly across the street from the Santa Monica Pier. I small walk after dinner holding hands would be a nice touch.
http://www.ilfornaio.com/page1.htm