Launch of terminal after system login takes around 60 sec, is there a way to speed it up?

Do you have several apps that launch during login? This could cause the delay you are experiencing. Go to system Preferences and click on Users and Groups. Once this opens click on the tab "Login Items" and you see a panel that looks like the following:

The app names that show up in the window are apps that are set o launch at login. The can prevent these from starting up by selecting one of the names and click the minus sign in the +- box indicated in the image. Removing many of these will speed up you login time.

If you do this be sure to unlock this panel by clicking on the "lock" icon so your changes will be saved.