Po szczepieniu mam jeszcze zmierzone ciśnienie i zapisany wynik.

Because po in the sense of after takes the locative case in Polish.

• szczepienie = nominative
• po szczepieniu = locative

This is very common:

• po pracy = after work
• po obiedzie = after lunch
• po szczepieniu = after the vaccination

So the ending changes because the preposition po requires it.

They are related, but not the same:

• szczepienie = the vaccination procedure / act of getting vaccinated
• szczepionka = the vaccine itself or, in casual speech, the shot

In this sentence, po szczepieniu is more natural because it means after the vaccination procedure.

A learner might hear po szczepionce too, especially in everyday speech, but that often focuses more on the shot itself or its after-effects, for example Po szczepionce bolała mnie ręka = My arm hurt after the shot.

This is a very useful Polish pattern:

mieć + past passive participle + object

It often expresses a resulting state: something is already done, and the speaker is in the state of having it done.

So:

• mam zmierzone ciśnienie = literally something like I have the blood pressure measured
• more natural English: I have had my blood pressure measured or my blood pressure is already measured

A similar example:

• Mam spakowaną walizkę = I have my suitcase packed
• Mam zrobione zadanie = I have the homework done

This is not the same as the ordinary English present perfect, but it often overlaps in meaning.

No. That construction usually does not say who performed the action.

Mam zmierzone ciśnienie means that the blood pressure has been measured, and now that result exists. It could have been measured:

• by the speaker
• by a nurse
• by a doctor
• by a machine

The focus is on the completed result, not on the doer.

That is why this structure is especially common in everyday and practical contexts:

• Mam już zrobione badania = I’ve already had the tests done
• Mam podpisane dokumenty = I have the documents signed

Because the participles must agree with the nouns they describe.

• ciśnienie is neuter singular, so we get zmierzone
• wynik is masculine singular, so we get zapisany

This is the same kind of agreement you see with adjectives in Polish.

Compare:

• dobry wynik = good result
• dobre ciśnienie = good blood pressure reading

So here:

• zmierzone ciśnienie
• zapisany wynik

If the nouns were different, the forms would change too:

• zapisana wartość = a recorded value
• zapisane wyniki = recorded results

They are in the accusative, because they function as the objects of mam.

However, in this sentence the forms look the same as nominative:

• ciśnienie: nominative = accusative
• wynik: for a masculine inanimate noun, nominative = accusative

So the form does not visibly change.

A clearer example would be a feminine noun:

• Mam zapisaną wizytę = I have the appointment scheduled

Here you can more clearly see the object-like behavior and agreement.

Jeszcze is one of those words whose meaning depends a lot on context. It can mean:

• still
• yet
• also / additionally
• one more thing remains

In this sentence, it most likely suggests that there is still another step in the process after the vaccination, or that in addition this is also done.

So the feeling is something like:

• After the vaccination, I still have my blood pressure measured and the result recorded
• or After the vaccination, they also measure my blood pressure and record the result

The exact English wording depends on the wider context, but jeszcze clearly adds the idea of something extra or still remaining in the sequence.

Because in medical or everyday context, Polish often shortens ciśnienie krwi to simply ciśnienie.

So:

• zmierzyć ciśnienie = measure blood pressure
• mam wysokie ciśnienie = I have high blood pressure

Native speakers usually understand this automatically, especially in a healthcare setting. Using the full phrase ciśnienie krwi is possible, but often unnecessary.

They are past passive participles, but in this sentence they behave very much like adjectives.

They come from the verbs:

• zmierzyć = to measure
• zapisać = to write down / record

From those we get:

• zmierzony / zmierzone
• zapisany / zapisane

In the sentence, they agree with the nouns just like adjectives do, which is why learners often experience them as adjective-like forms.

So grammatically they are verb-derived forms, but functionally here they describe the state of the nouns:

• ciśnienie is measured
• wynik is recorded

Because the sentence focuses on a completed action and its result.

• zmierzyć and zapisać are perfective
• perfective verbs naturally fit the idea done, completed, finished

That is exactly what this sentence expresses: the blood pressure is not in the process of being measured; it is already measured. The result is not being written down right now; it is already recorded.

So the perfective forms match the resultative meaning very well.

Yes, it is understandable and natural, especially in a medical or procedural context, but it is somewhat compact and result-focused.

It emphasizes the state after things are done. If you wanted to focus more on the actions happening to you, Polish might also use a different structure, for example:

• Po szczepieniu jeszcze mierzą mi ciśnienie i zapisują wynik.

That version focuses more on what they do next.

As for word order: Polish word order is flexible, but not random. This sentence puts the time frame first:

• Po szczepieniu = sets the scene
• mam jeszcze = introduces the remaining/additional step
• zmierzone ciśnienie i zapisany wynik = gives the completed-result information

You can move parts around, but the emphasis changes. The original order is clear and natural for presenting the situation in a concise way.