Hello!
The supers aren't that easily accessible, you need to find someone who is certified to deploy it and then have them go and deploy it. If there's not already one deployed (which usually is the case) it can take up to minutes before we have the high speed nearby. The LSPD has internal protocols as to which vehicles it can be deployed for. It will not be deployed for a normal chase, but if the vehicle is one requiring it, we may consider deploying one.
As for the lockpicking, we strive to use keys but when it isn't possible, we need to force entry. Due to script limitations, the only way to force entry into a vehicle is by lockpicking it.
Let me know if anything else needs to be cleared up.