Wonderful job!
As it isn't a huge quilt, I would sandwich it using 505 basting spray. You can search it and find lots of threads on how to do that on this board.
I'll leave it to others to help you with the machine quilting except to say that I rarely use a walking foot, so if you can't get one, it won't be the end of the world, as long as your basting is smooth and strong, IMO.
Watson