The key fobs work on a rolling code, the fob sends out a code then scrambles it via mathematical sequence to the next one, the car remembers the last sequence it got and waits for any of the next few sequences, that way if you click your button when you aren't near the car it will still see a valid code.
If the thieves got a working key for it, yours may no longer work. It also depends how old your car is and what type of remote its using.
As far as boosting the signal, its possible but likely to run afoul of the FCC.
Tom