I would definitely talk to your doctor about it but I did want to ask you if you are exercising at all. Exercise is a natural antidepressant and really helps with both anxiety and mood. Also, it will help with sleep problems.
DH and his whole family suffer from depression and anxiety and they all need to exercise almost every day in addition to taking meds. You will see results faster from that than from meds which can take 2-3 weeks to get into your system. It's worth a shot.
I have also suffered from long time insomnia and other sleep issues and found that working out helps get me to sleep faster and stay asleep.
Good luck and I hope you start feeling better soon.
A, mom to Ethan age 5.5 and L age 2