If you have any questions at all I strongly urge you to ask your vet. Since you are on the internet already you can obtain specific locale information from other dog owners and while you are at it, get the names and phone numbers of some good vets and the emergency vet clinics for your route and destination.
First aid is a first line of defense against veterinary complications and it is only that.
Persistant symptoms and any troublesome illness or injury warrants a visit to a vet's office as soon as possible. The Container First you need to get a sturdy container that is big enough to hold all your items. Toolboxes and fishing tackle boxes work fine. If you've got kids around, the loop for a lock is a good idea. Lock it when you cannot supervise the box and the children.