Welcome to Los Angeles jamesstr3.

I would call Delta (from the USA the number is 1.800.221.1212) to obtain your confirmation number. It's always a good idea to have an actual confirmation readily available when traveling. I'd ask Delta to fax me the itinerary which will include the confirmation number. Since it is your own reservation and you know your itinerary, you would certainly be able answer any questions or concerns that Delta might have.

Curbside Check-In on the upper level is available at LAX, definitely for domestic flights. I'm uncertain regarding international flights. Perhaps someone else would chime in on that question or you may wish to ask when calling Delta. If I notice a long line at curbside I immediately walk into the terminal and try to ascertain if the counter check-in line is moving faster.

Online Check-In is another convenient feature, available up to 24 hours before your flight at www.delta.com. In addition to checking in for your flight, it allows you to print your boarding passes.

Happy travels.