To answer your first question 'must' is possible in the above example but the meaning will be different than i suppose you have in your mind
When we use 'should' we think what is right/moral/decent thing to do at the time.
When you say 'They should have called the police.' - (Here you know it for sure that police have not been called)
But when you say 'They must have called the police.' (Here you are almost instinctively sure that the police had been called after you have anaylzed the situation well, but officially you don't know whether they called the police or not)
See below how 'should' and 'must' function in your examples
They should have called the police. (It is your opinion)
They must have called the police. (It is your speculation)
For Example
- There has been a burglary in one of the houses in your neighborhood. Now, any random family would call the police in this situation. So it is extremely easy for you to speculate that 'They must have called the police' - because that was the sensible and normal thing to do after the burglary.
But when you know that they didn't call the police in this situation then you might express your surprise in the following sentence
- I am surprised that they didn't call the police after the burglary. They should have called the police and informed them about it. (Must is not possible in this example)
Another example
Suppse you are telling your friend the following
- If you were having such a hard time at school, then you should have told me. (meaning that you might have been able to help your friend out)
Here 'must' is not possible - because you can't compel your friend to share things with you. Sharing is not compulsion. So you can't say --
You must share your problems / feelings with others.
But you say --
You should share your problems / feelings with others.
'Must' in one of its meanings implies compulsion, obligation etc.
To answer your second question -
You should read his new book. (Sounds less convicing than 'must' but it is still a suggestion)
Here 'should' works as a suggestion
But
You must read his new book. (sounds more convicing)
If there is any book or movie that you have liked very very much then you use 'must' not should. 'Must' will work as 'strongly recommended'
So it should be
You must read his new book. It's amazing.
Best Answer
Immediate means this very moment although it is taken to mean as soon as possible. To say that a message needs an immediate reply is to ask the recipient to respond as soon as it is received - or, at least, as soon as practicable.
A letter requiring an immediate reply should be by the next post. However, the subject matter may be trivial. Did you want two pairs of socks or three?
Urgent signifies that there is much as stake and that the speed of the response is material. An urgent reply should be made as soon as it is possible in the light of the circumstances, even if it may take several days or weeks.
Regrettably, in the internet age, much of the spam that we receive is labelled urgent and the word has simply become an attention-getter. It's good advice to use it with caution.