Your Louisiana Vegetable Planting Guide should be telling you that mid-January is the optiumum time to start your tomato and pepper seeds for transplants into the vegetable garden for mid-March. Whether you start those seeds in a greenhouse or indoors, there are many benefits to starting your seeds, including financial benefits.
A concern for starting plants indoors is timing. You run the risk of having them indoors too long if you start them too early, making them root-bound. If you start them too late in the season, you won't get the maximum value out of that plant.