Since you already have a complete rifle in the house (pre- or post-ban would not matter in the case of a short barrel), you'd be better off not having a short upper in the house until you get your Form 1 back approved.
Without the Form 1, you'd be in a position of having no legal way to configure the parts in your possession, and one very illegal way (putting the short upper on your existing rifle) - which could make a case of 'constructive possession' of parts to make an unregistered short-barrel rifle.
While the chances of you actually getting discovered/investigated, much less prosecuted and convicted for the constructive possession are probably negligibly slim, why tempt fate?
You're looking at a 3-5 month wait just to get your approved Form 1 back for the SBR, so tacking another week on for delivery of the short upper after your Form's back shouldn't be that big a deal.
When you get the Form 1 back, order the short upper, and you can use the time waiting for it to arrive to engrave your name, city and state on the lower. When the upper arrives, you install it and you're done.