grammaticality - Real past conditional with a single event and its conclusion in the past

If they dispatched the parcel yesterday, Jim will receive it next
Friday. But if they dispatched it last week, then

• A: Jim will have received it yesterday.



• B: Jim received it yesterday.

Are A and B both grammatical? Do they differ in meaning? Is there other forms to express the intended meaning of associating a real (not counterfactual) past event with its past conclusion?

Edit:

Max suggested the use of ‘should have’, but is that the only valid usage? I’ll provide some more examples with comments below:

Have you talked to Jim recently? Did he go to confront the neighbours
when he was having issue with their noise last week? I told him not to
because they’re violent people. If he went there:

• A: They assaulted him.


• B: They have assaulted him.


• C: They would have assaulted him.


• D: They should have assaulted him.



• E: They could have / might have assaulted him. (variation in modality)


• F: They will have assaulted him..


• G: Something else.

Another example:

Did Jim pay the fine when I told him to last week? If he didn’t:

• A: They charged him extra fees.


• B: They have charged him extra fees.


• C: They would have charged him extra fees.


• D: They should have charged him extra fees.


• E: They could have / might have charged him extra fees.


• F: They will have charged him extra fees.


• G: Something else.

Comments:

Simple past and present perfect: I can find examples in different corpora and online sources where simple past is used:

If she lied, she perjured herself.

But this usage seems to imply high certainty or automatic association. What if we want to express lesser certainty?

The perfect tense is possibly just a variation (adding an existential sense):

If she lied, she has perjured herself.

‘Should have’: is also used commonly:

If you have paid your dues, you should have received a membership card.

But because ‘should have’ is also overloaded for recommendation, its usage sounds confusing and funny on the ear in the two examples above. (Unless you do mean to use it for recommendation maybe).

‘Will have’: The usage pattern of the future perfect does cover past actions, but I’m not sure about it’s usage in real past conditionals. Can’t find any examples.

‘Would have / could have / might have’: sound perfectly legal with variation in meaning of course, is there any issue with using them?