Wir haben heute eine Besprechung, und danach gehe ich direkt nach Hause.

Yes. In this sentence, Wir haben heute eine Besprechung works very much like English We have a meeting today.

German often uses haben with events, appointments, lessons, meetings, and obligations:

• Wir haben heute eine Besprechung. = We have a meeting today.
• Ich habe morgen einen Termin. = I have an appointment tomorrow.
• Sie haben jetzt Unterricht. = They have class now.

So this is a very natural use of haben in German.

Because Besprechung is a feminine noun, and here it is the direct object of haben, so it is in the accusative case.

For feminine nouns, the nominative and accusative indefinite article is the same:

• eine Besprechung = a meeting

Compare:

• masculine: ein Termin → einen Termin in the accusative
• feminine: eine Besprechung → eine Besprechung
• neuter: ein Problem → ein Problem

So eine is correct because:

1. Besprechung is feminine
2. it is in the accusative after haben

Besprechung usually means meeting, discussion, or conference in a work or organizational context.

It is often very close to Meeting, but there can be small differences:

• Besprechung = a native German word, often slightly more formal or neutral
• Meeting = also used in German, especially in business settings, and sounds more modern/international

Depending on context, German speakers might say either:

• Wir haben eine Besprechung.
• Wir haben ein Meeting.

Both are possible, but Besprechung is a very standard, natural choice.

Yes, heute can move, because German word order is flexible, but the position changes the focus or emphasis.

In the sentence:

• Wir haben heute eine Besprechung.

the structure is:

• Wir = subject
• haben = verb in second position
• heute = time expression
• eine Besprechung = object

This is very natural.

You could also say:

• Heute haben wir eine Besprechung.
• Wir haben eine Besprechung heute. (possible, but less natural in many contexts)

The most common options are:

• Wir haben heute eine Besprechung.
• Heute haben wir eine Besprechung.

The first sounds neutral; the second puts more emphasis on today.

This is a good question, because German comma rules are not exactly the same as English ones.

In this sentence, the comma before und separates two main clauses:

• Wir haben heute eine Besprechung
• danach gehe ich direkt nach Hause

In German, a comma before und between two full main clauses is often optional, especially when the structure is clear without it.

So both of these can be acceptable:

• Wir haben heute eine Besprechung und danach gehe ich direkt nach Hause.
• Wir haben heute eine Besprechung, und danach gehe ich direkt nach Hause.

The comma can make the sentence easier to read. So the version with the comma is not strange.

Because German often puts a time expression or another adverb at the beginning of a clause when it is the element the speaker wants to introduce first.

danach means after that. By putting it first, the sentence flows naturally:

• ..., und danach gehe ich direkt nach Hause.

This is very common in German. The first position in a clause does not have to be the subject.

Other examples:

• Morgen gehe ich ins Büro.
• Dann essen wir.
• Danach rufe ich dich an.

So danach is in the first position of the clause.

Because in a German main clause, the conjugated verb must be in second position.

This is the famous verb-second rule.

In the second clause:

• danach = first position
• gehe = second position
• ich = comes after the verb

So:

• Danach gehe ich direkt nach Hause. ✔
• Danach ich gehe direkt nach Hause. ✘

If the subject comes first, then the verb comes second:

• Ich gehe danach direkt nach Hause.

But if another element comes first, the subject usually moves after the verb:

• Danach gehe ich ...
• Heute haben wir ...
• Im Büro arbeitet er ...

direkt means directly or straight here. In context, direkt nach Hause means straight home.

In this sentence:

• Danach gehe ich direkt nach Hause.

direkt modifies the movement phrase nach Hause. It tells us that the speaker goes home immediately / without stopping somewhere else.

This position is very natural. German often places adverbs like direkt before the destination phrase:

• Ich gehe direkt nach Hause.
• Wir fahren direkt ins Hotel.
• Er geht direkt ins Bett.

So direkt is placed before nach Hause because it closely belongs with the idea of going home straight away.

Because German distinguishes between movement toward home and being at home.

• nach Hause = to home / homeward → movement
• zu Hause = at home → location

So:

• Ich gehe nach Hause. = I am going home.
• Ich bin zu Hause. = I am at home.

This is a very important pair to learn.

More examples:

• Kommst du heute früh nach Hause? = Are you coming home early today?
• Ich bleibe heute zu Hause. = I’m staying at home today.

Because nach Hause is a fixed idiomatic expression in German.

You do not normally say:

• nach das Haus ✘

When talking about going home, German uses the special expression:

• nach Hause

Historically, Hause is part of an older fixed form, and learners usually just memorize it as a set phrase.

Compare:

• Ich gehe nach Hause. = I’m going home.
• Ich bin zu Hause. = I’m at home.

But if you mean a specific building, then you use normal prepositions and articles:

• Ich gehe in das Haus. = I’m going into the house.
• Ich gehe zu dem Haus. = I’m going to the house.

So nach Hause is specifically about home, not just any house.

Sometimes, but they are not exactly the same.

• danach = after that, referring to something mentioned before
• nachher = later / afterwards, often more general

In this sentence, danach fits especially well because it clearly refers to after the meeting:

• Wir haben heute eine Besprechung, und danach gehe ich direkt nach Hause.

That means:

• first: the meeting
• after that: I go home

If you said nachher, it would sound more like later and might be a little less tightly connected to the meeting itself.

So danach is the better choice here.

Because in German, all nouns are capitalized.

So in this sentence:

• Besprechung is a noun
• Hause is part of the fixed noun expression nach Hause

This is one of the easiest visual clues in written German. If you see a capitalized word in the middle of a sentence, it is often a noun.

Examples:

• das Auto
• die Stadt
• eine Frage
• nach Hause

So the capitalization here is normal German spelling.

Yes, absolutely.

You can say:

• ..., und danach gehe ich direkt nach Hause.
• ..., und ich gehe danach direkt nach Hause.

Both are grammatically correct.

The difference is mainly emphasis:

• danach gehe ich ... puts after that first, so the time sequence is highlighted
• ich gehe danach ... starts with the subject and sounds a bit more straightforward or neutral

German lets you move elements around for emphasis, as long as the verb stays in second position in a main clause.