You can get by without the door surrounds and that tailgate bar but it's gonna fit loose.
See wesboy's post. those drip retainer rails won't have anything to clip into without the surrounds plus I think the foreward edge of the top clips into them as well.
That rear bar also helps form a seal on the back window and without it the window will flop around. This puts extra stress on the zipper which is already a pain to work with.
The top will go up but it isn't going to fit right and will let some air in. Your daughters might want some jackets just in case
But yeah the soft tops take some time to get used to. Probably took me near an hour the first time too. That rear window is hard to get the zipper started and still takes me 10-15 minutes sometimes.
Also if you still have the owners manual, mine had a pretty detailed section on putting up/down the soft top. Also removal/install section. I had to look at the manual because I couldn't even figure out how to put the top down the first time.