Nah, just a free account (for now at least, probably worth getting a pro sub for a month if you're actively trying to book something). The free version only shows 3 months out, so you'll need the pro version to see if there is anything in July.
...but if you go through the explore menu, you can add the departure or destination airport into the search field and it will filter on those. You can then sort by one of the columns and click through the pages to get all the data for the place you've filtered to.
Also, you should be able to get plenty of business class reward seats on American Airlines for your flights in the US. Even better, 'First Class' domestic from LAX to JFK (closer to business class international) has some pretty cool lounge access from what I've seen (I've never experienced it myself, but is one of the flights I definitely plan on doing if I get back over there again, 85,500 QFF points each)
