For a monthly run of about 1000 km, all that you will require is a petrol vehicle, diesel would be overkill.
Contrary to your belief, most of the hatch in your budget provide you with ABS
and airbags. Below are th variants.
Grand i10 asta(o): superb engine, will get you features which you get in a segment higher, decent stability. cheapest of the lot here.
Swift zxi: updated one gets most of the necessary features plus the best petrol engine in india at this budget. will cost you 7+
Bolt xt: Zest proved to be great, bolt acquires the same revtron 1.2 petrol, most powerful engine in the segment. Will cost slightly more than grand, with many segment firsts like connect next, gps nav etc.
Both swift and bolt will be found wanting in the boot space segment.
Zest xt: Your stretched budget of 7.5 lakhs will get you this awesome machine, you have everything bolt has plus drls and increased boot.
Xcent sx: All that grand has and much more, but you might have to stretch your budget a little.
there are others but since you are saying you live in a small town, look for accessibility of service station in your vicinity, if you have then you can consider the updated ford figo, will be released in a couple of months; Volkswagen polo( costly maintenance, but do not overlook the awesome machine), chevy sail, etios liva.
Also look at the number of people who will usually travel in the car.
Grand, swift and polo : 4 will be comfy, 5 will have to squeeze.
Bolt, zest, etios and sail can take in 5 comfortably.
I leave out amaze as it looks bare-bones compared to the lot mentioned here. swift dzire while a competent machine, will feel like its a bit overpriced.
PS: If you are planning to keep the machine for 5 plus years, then do check with dealer for 2014 models, you might get mouth watering deals.