Network Problems with iOS 6.1 and iPhone 5

I strongly believe that the network connections with iOS6 and my iPhone5 has serious problems. I am experiencing the following issues;

Weak wifi signal at locations where I was enjoying good connection with iOS 6.0.1Sometime when I enter into a known wifi area, the phone does not connect to wifi automatically. I have to open the Settings App and go to wifi section to get it connected.Sometimes when I wake-up my phone from sleep, which is sleeping well within wifi range, it shows 3G connection and take some times to get connected to wifi.I am experiencing fast battery draining when compared to my phone with iOS 6.0.1

FYI, I have already tried resetting my network settings and done hard restarting many times without success.

Please advice any action to solve the problems.

FYI, I have submitted the above to Apple via Apple feedback page.

View the Correct Answer Network Problems with iOS 6.1 and iPhone 5 in iPhone Faq , Answer Wi-Fi, 3G and Bluetooth iPhone Question