Yes, Xanax is addictive. Withdrawal is not pretty, so be careful. Use it when you need it. If you find you still need to take it even though the stress in your life has abated to a manageable level, Call Your Doctor!
Oh, one quick comment about addiction. Dependence and addiction are basically the same thing. A cancer patient receiving morphine every day for pain is addicted. This is not bad. With addictive drugs a body is physically dependent on the drug. The association of drug ABUSE with addiction has given the word a bad rep.
Finally, benzodiazepams (Xanax, Valium, Ativan, Klonipin, Ambien, Restoril, Halcyon) should be used VERY CAREFULLY in older people. They can cause agitation, confusion, and delerium. Believe me, I've seen it happen many times with just one small dose.
Good luck to you. Hope things take a turn for the better soon!