I am no solar expert but have got installed a solar unit at my home. My two cents are as follows.
3 kw unit has very little utility so I would recommend a 6 kw hybrid set up. Ofcourse you will have to increase your budget.
Net metering is a must for solar system.
If there is no load shedding then expensive batteries are not required. Modern day inverters are MPPT they run fine without any battery. If solare energy is more than requiremnt of your house it would be fed to Wapda. But if your demand is more then inverter will draw additional power from Wapda. Batteries are required only during load shedding at night time when both solar and Wapda are out.
I have used tall tabular batteries of Osaka and Phoenix both. They have long life but their backup is not that high what they claim. Price wise these are 10 k expensive than simple batteries of same capacity.
If loadshedding is not of much concern I would recommend simple battery of AGS of 85 AH capacity at the max. A 3kw setup would require 02 batteries while a 6kw one need 4.
Cost of solar pwer sytem is verying very much on almost day to day basis due to dollar fluctuation and constant decrease in prices of solar penals in China and also in the international market. However a 6kw unit should roughly cost like below
14 plates@ 50000 = 700000
Inverter =200000
Stands for plates 7@5000= 35000
Cables = 65000
Batteries 4 @ 25000= 100000
Installation cost + misc items = 50000
Net metering cost = 100000
Total= 1250000 (1.25 million rupees)
With this investment you shall inshaAllah have zero electricty bill for at least 15 years.
Typical household bill these days is 50000 @ 8 months in summer and 10000 @ 4 months in winter for Karachi weather. So total = 440000
In 03 years your investment will pay back in full and the remaining 12 years are a bonus. Moreover you will be serving the country by providing cheap electriity to Wapda and also helping to end load shedding.
Hope it helps