Nem kaptam értesítést, holott a futár itt járt.

Hungarian does not use an auxiliary like English did for the past tense. Instead, the main verb itself carries the past meaning.

kaptam breaks down roughly like this:

• kap- = receive, get
• -t- = past tense marker
• -am = I

So kaptam already means I received / I got.
Then nem kaptam means I did not receive / I didn’t get.

kaptam means I received or I got.

It comes from the verb kap = to get, to receive. In this sentence, the natural English translation is I didn’t receive.

A useful thing to notice is that Hungarian often leaves out the subject pronoun, because the verb ending already shows who the subject is. So kaptam already tells you the subject is I.

The -t marks the accusative case, which usually shows the direct object of the verb.

Here, the thing being received is the notification:

• értesítés = notification
• értesítést = notification (as the direct object)

So Nem kaptam értesítést literally looks like Not received-I notification-ACC.

Without an article, értesítést sounds more like a notification / any notification rather than the notification.

So:

• Nem kaptam értesítést = I didn’t receive a/any notification
• Nem kaptam az értesítést = I didn’t receive the notification

In negative sentences, Hungarian often uses a bare noun like this when English would naturally say any.

holott means although, even though, or whereas, depending on context.

In this sentence it introduces a contrast:

• Nem kaptam értesítést, holott a futár itt járt.
• I didn’t receive a notification, even though the courier was here.

It is a slightly formal or written-sounding word compared with some other ways of expressing contrast, but it is completely natural here.

a futár means the courier. The definite article is used because the speaker has a specific courier in mind: the one who was supposed to deliver something.

If you said just futár, it would not sound right in this sentence. Hungarian often uses the definite article when referring to a known or identifiable person, even if English might sometimes be less explicit.

Literally, itt means here, and járt is the past tense of jár.

In this kind of sentence, itt járt means something like:

• was here
• came by
• stopped by
• visited here

So with a courier, a futár itt járt is a very natural way to say that the courier came to this place.

Both can be possible, but they are not exactly the same.

• itt volt = was here; this simply states presence
• itt járt = was here / came by / visited; this suggests a visit or arrival-and-departure

With a futár, itt járt is especially natural because a courier typically comes by, drops something off or tries to, and leaves. It sounds more event-like than itt volt.

No. In Hungarian, the verb ending usually makes the subject clear, so the pronoun is often omitted.

• (Én) nem kaptam értesítést. = I didn’t receive a notification.

You would add én only if you want emphasis or contrast, for example:

• Én nem kaptam értesítést, de ő igen.
• I didn’t receive a notification, but he did.

Not completely. Hungarian word order is flexible, but changes in order often affect emphasis.

The given sentence is natural and neutral:

• Nem kaptam értesítést, holott a futár itt járt.

You could rearrange it, but the focus would change. For example:

• Holott a futár itt járt, nem kaptam értesítést.
  This puts more emphasis on the contrast introduced by holott.
• A futár itt járt, holott nem kaptam értesítést.
  This sounds less natural for the intended meaning, because holott usually introduces the clause that goes against expectation.

So the original order is the best default version.

Yes, normally yes. holott introduces a subordinate clause, and Hungarian usually separates that clause with a comma.

So:

• Nem kaptam értesítést, holott a futár itt járt.

The comma helps show the contrast clearly and matches standard written Hungarian.