Hi Spidergirl, Welcome to All Things Plants!
Dracaena (Dracaena fragrans 'Janet Craig Compacta') is a slow grower. Winter is the time of year when most plants are resting so I doubt you will see much new growth on your plant until spring. Dracaena's have lower water requirements than many other indoor plants and they do not tolerate soil that stays extremely wet. Your leaf issues might be due to over-watering but brown tips can also be caused by salt build up in the soil. Here is an article on the subject of brown leaf tips that was written by one of our members here on All Things Plants:
http://garden.org/ideas/view/L... And, a couple of other links for further reading that might be helpful:
http://extension.oregonstate.e...
http://homeguides.sfgate.com/s...
