I don't use LoseIt, but I'm surprised it allows calories to be set that low.
I'm 5'1 and 1/2, and the majority of my weight loss was at a daily average (spread over a week) of 1400. When I reached 140, I started to slow down a little bit, and am now experimenting with new calorie levels. I find 1250 a day to be manageable but not fun, due to less variety. I honestly don't know how you're happy at 1034 a day.
Even from a nutrition point of view, 1034 seems really low. Are you able to eat a variety of produce? Get enough good fats? Lean protein? Fiber? It's possible, I suppose, but it seems to me that if you don't need to eat that low, there's no reason to do so.
I'm still figuring this out for me, so I'm not an expert!

But I think you're right to wonder about continued weight loss and then maintenance. Maybe upping your calories now and accepting a slower rate of loss would be a good - and healthier - decision for you.