it's unlikely insurance companies will lower your rates. you can certainly stay with your current insurer (assuming your plan isn't being discontinued because it doesn't comply with the law) but it's a good idea to shop around to make sure you're signed onto a plan with the best coverage at the best price for you. generally insurers raise rates at the time of renewal so it's reasonable to expect a rate increase once a year.
if you currently have health insurance will your company lower the current rates if you stay with them? . or must you switch to a different company to get competitive rates? how long must the insurance companies keep their rates the same? can they raise them in 6 months? can doctors raise their rates?