Once a shuttle enters the orbit that it did, can it still reach the International Space Station?
If it can, how many Soyuz capsules are on there (if the answer is less than 4, who do you leave behind?)?
If it can't, how long does it take to get a semi-warm shuttle launched (hint; Atlantis was due for a March 1 launch)?
If that shuttle can be launched in time, how do you get at least 9 people into a shuttle that seats 7?
Where are the replacement tiles supposed to be stored? How is the crew going to heat the adhesive to get these replacement tiles to stick?
I'm waiting....
The answer is that NASA tries to improvise, just like they did with Apollo 13. Maybe it will work, maybe not, but you don't give up without trying. Seven lives and a $2 billion spacecraft are too costly to give up without trying.
Then comes the problem of getting the tiles (assuming they broght the right ones; each is custom-cut) on. Adhesives don't work too well when you hit triple digits below zero. If they don't have the right ones, there's nothing else on board that can withstand the temperatures of re-entry.
As for rescue, 7's the limit for the shuttle. At a bare minimum, you'd have 9 up there.
Using what they could extrapolate from 2 frames of film shot at a distance, they thought the tiles would withstand that strike as well as the booster did.