Hi Julie and Trish
If JY aren't running a sunrise trip as an optional excursion, I suggest dropping James at Easter Island Spirit an e-mail and he will happily fix it up for you (the website and tour details are earlier in this thread). You will be back at the hotel in time for breakfast so plenty of time to do it on any of your three mornings, even before your JY included tours on Days 2 &3.
Your guide will pick you up at the hotel, (probably around 6-6.30am) it's about a 20 minute drive out to Tongariki, and will have you there and in the best position way before the sun comes up (this is important as the light show is actually at it's best before dawn breaks). As you are going in October, a month later than I did, the sun should rise almost directly behind the Moai on the ahu itself, which should give you some spectacular photos (cloudy days permitting). After the sun is up, you'll also get a chance to see some of the petroglyphs at the site which are not so clearly visible during the day time. (Tip: Wrap up warmly because there's a chilly wind at that time of day and take a little pocket torch because the ground is very uneven so could be risky in the half light)
What ever you choose to do, Rapa Nui will not disappoint, I promise!
Happy to help if you've got any other questions
Mandy