Is lenovo K900 smartphone good enough?

[Sougat]

I don't game much (max to max gonna play games like poker , temple run, angry birds etc) , just gonna use it for normal phone calls , watching movies, and listening to songs (little web usage like whtsapp/facebook)
Also one more thing i want in the phone is, it should look unique from most other smartphones in the market
I was thinking about getting the k900 but i have the following doubts regards to it :
1) Saw lot of people complaining about no play store installed in this device and i might have to root the device before i can install google play , is it true? if yes then is it easy to root the device?
2) How is the battery life , will it last atleast a day with my usage as described above
3)Saw someone review about the connectivity of the device that internet connection keeps getting lost , is this true
If you got any other alternatives for the k900 within INR 30000 (US 484$) which have both performance and good design , feel free to suggest (any brand will do except samsung)

[Suhas Gorade]

There are some good phones as follows. you may compare and get more info
LG Nexus 5 - Quad Core 2.26, 2 GB Ram, 4.95 Inch Screen with Corning Gorilla Glass 3, 445 ppi Full HD. 8 MP Camera
http://www.elemesh.com/product/lg_nexus_5.htm

SAMSUNG Galaxy S4 I9500 - Quad Core 1.2, 2 GB Ram, 5 Inch Super AMOLED with Corning Gorilla Glass 3, 441 ppi Full HD. 13 MP Camera
http://www.elemesh.com/product/samsung_g..._i9500.htm

SONY Xperia Z - Quad Core 1.5, 2 GB Ram, 5 Inch, Gorilla Glass 3, 441 ppi Full HD. 13.1 MP Camera
http://www.elemesh.com/product/sony_xperia_z.htm