If you review my post #5 you'll see it's a huge problem if you have an itinerary that includes Tel Aviv prior to entering Lebanon. If Lebanon authorities know (or even suspect) you've been to Israel or are going to Israel in the future you will be denied entry.
Your option #1 is fine (It's Amman by the way) as long as you have no evidence of a future visit to Israel (guide books, hotel reservations, etc.) in your possession when you enter Lebanon.
Good luck.