Help in analysing the form and function of some sentences

Hi, this might be very easy for some, but I'm new to this and I'm finding it difficult to get my head around.

I need to analyse the form and meaning of the underlined parts of the sentences. Here's two examples.

a. Would you like an ice cream?
would

Used to make an offer

b. Are you going on holiday next week?
'present continuous' (question form be+ subject+present participle)

Used to talk about future plans / arrangements



These are the sentences and my attempts at some of them. I really don't know if I'm on the right track or not. Any help would be greatly appreciated.

1. 
   The burglar must have got in through the bathroom window
   

Modal in reference to the past? (must + have + past participle + preposition)

1. 
   It’s time you had a haircut
   Past subjunctive (subject + be + compliment + subject + past subjunctive)
   
   Used to make a strong suggestion or to persuade.
   
   

1. 
   Shall we invite Danny to our party?
   

Modal (shall + subject + base form of the verb)

Used to talk about future plans or arrangements.

1. 
   Mind how you go!
   

Imperative

Used as a caution or warning.

1. 
   You will all have heard of William Shakespeare
   

1. 
   If I had known the truth I wouldn’t have gone there
   

Third conditional (conjunction + past perfect), (subject + modal aux? + have + past participle)

Used to express regret or annoyance about a past event.

1. 
   They should be home by now
   

Modal (subject + should + base form 'be' + object + time reference present)

Used to express an expectation.

1. 
   He had a cocktail, which was very unusual.
   

1. 
   my plane leaves at 6.30
   

1. 
   I am having my car serviced next week
   

thanks!

Mark