The time thing is locked because you need to hook wires into the parking brake signal, park range signal, and there is another i cant remember. Bascily the parking brake, range and the third signal have to be on in order to access the time change function (its really stupid if you ask me)
This particular head unit does not have built in bluetooth according to crutchfield you would need to buy the adapter. It does have gps maybe there is an update for it. The usb i think only work with apple products and usb drives with music files on them.
Alpine INA-W900 Navigation receiver at Crutchfield
And this is what you need installed to change the time.
Amazon.com: MicroBypass Parking Brake Override Bypass for Alpine: Automotive.
Alpine makes great head units you may want to contact your local alpine dealer or alpine support and have them look at it to see if it can be fixed for cheaper than buying a new one. Alpines older and their newer cheaper head they made you buy add on modules like bluetooth, gps and cd players in order to keep the cost down.