Urgent passport service process

[k2009]

For urgent passport service, do we need to bring guarantor with you when you apply or guarantor just sign in documents and picture?

For waiting time 48 hours after taking oath before apply for passport, counting from the time of taking citizen ceremony?

For example, if we have ceremony on monday noon, we can apply for urgent passport around wednesday afternoon. Any time?
We can pick up passport thursday around afternoon? 24 hours service.