its multisim 9 so should do a good job, I think though sometimes it tried to take so much reality into theoretical consideration that it runs you round in circles doing things you wouldn't expect. But I can't see what the problem would be with this circuit, last time I had a problem it was because it refused to turn on a led unless the resistor in series was able to supply at least 10 mA in the real world the led would have just lit dimly
hi,
LTSpice is a free download and is well supported.