Definitely normal... and I am definitely not a new mom and I have it pretty bad. I've had 5 other deliveries, so I know...the 6th one now is killing me just as badly. I feel trapped, feel like running away, can't breathe, can't sleep, every little thing bothers me.....sometimes I wish I really was dead. I can't run away from myself because the baby is there and will be everywhere I go until delivery.
You could go on anti-depressants, but these take the average of a month to start working and you only have less than a week until your due date. Once you deliver, these hormones and the discomforts of pregnancy will be gone.
If you feel like you need to hurt yourself or others, or become suicidal, and just can't seem to cope with everything and it is driving you to do desperate things, talk to your doctor, but chances are you are pretty near the end and the hormones that are causing these panicking and depressive feelings are a sign that you are really close to the end of your pregnancy