How can I increase downloading speed in µTorrent in our university CybeRoam and also is there any way to open blocked sites?
If the VPN isn't blocked to access blocked sites you may try one of the options mentioned here.
2 Free VPN Services For Secure Browsing On Your iOS Device
7 Completely Free VPN Services To Protect Your Privacy
I am not sure if anything can be done about torrent speed though. If I were you I wound't try to bypass the limitations as it may get you kicked out of the university.
By using the universities network you automatically accepted the networks usage agreement. If your university has blocked specific sites or traffic (e.g. Torrent) you should comply with these rules.
Bypassing those restrictions is illegal and depending on how they enforce the rules might actually get you disbanded.
Having that said - if they are using a Layer 7 filter the only way around is VPN. If they also blocked VPN there is nothing you can do.