I’m still somewhat confused as to what you’re asking in regards to the spare tire removal set-up. In regards to the straps...they should not be underneath anything because they need to be unencumbered from being able to lift or lower the spare tire back into the well.
If putting the spare back inside the car...you have the plastic thingy (#1) plugged into the lock of the lower tailgate and item #13 (the lock pin) in place to keep the tailgate lowered...you slide your spare upon the straps...center it...then remove the locking pin which allows you to use the lower tailgate to lower the spare into the well. You do the reverse to remove the spare. So again, the straps need to be free to do that...if you run them underneath something...you won’t be able to use this apparatus correctly...or as it was designed.
Like WPoll suggested...I, too recommend that you use one of the online part database sites to help you reinstall what you removed. The diagram shows you (sort of) how things go together...but more importantly it indicates the hardware (the encircled numbers in the illustration) which also usually includes an additional “key” inside the illustration to help identify what type of hardware is being used.
For example, below item #1 is the spare tire removal device (straps and plastic piece that levers the lower tailgate section):