nonononononononono!
Don't worry about dilating on the flight! That is far too risky! You'll need to dilate before you leave the hotel and after you return home, but nothing in between (unless your flight is delayed, in which case it's a good idea to contact the clinic and ask for advice). Make sure you request a wheelchair to the gate and upon arrival aswell, I didn't think I would need one but I would never have made it to the gate without it. Just let the nurse know when she drops you at the airport that you would like a wheelchair.
The time missed in between dilations will mean your next dilation when you get home will be a little more difficult, but just keep at it. It will take a little longer to get to depth, but don't stop until you get to depth, that is the main thing. Even if it takes an hour longer than usual, you'll get there.
It's a good idea to put the travel dilator in your carry on luggage just in case your bags are lost or delayed or something. The other dilators would probably be too heavy to all be taken on with your carry on luggage, so they can go in your other stuff. Just keep in mind whehn you are packing your things before leaving that you need to allow for extra weight with the dilators and medical equipment they will send you back with (though some of it can be taken with you in a carry on bag and they will usually be cool with that at the airport).
Oh, and make sure to have fun. You're so gonna miss Thailand when it's over!