Spilletiden står på banereservationen.

Because Danish usually puts the definite article at the end of the noun.

• spilletid = playing time
• spilletiden = the playing time

The same happens in banereservationen:

• banereservation = court reservation
• banereservationen = the court reservation

So where English often uses a separate word like the, Danish often uses a noun ending such as -en or -et.

Danish normally writes compound nouns as one word.

So:

• bane = court
• reservation = reservation / booking
• banereservation = court reservation

The same pattern appears in spilletid:

• spil = play / game
• tid = time
• spilletid = playing time

This is very common in Danish, much more so than in English.

Literally, yes, står på can look like stands on, but here it means something more idiomatic: is written on, appears on, or is listed on.

So Spilletiden står på banereservationen means that the playing time is shown or written on the reservation.

This use of stå is very common in Danish when talking about text or information:

• Der står mit navn på listen. = My name is on the list.
• Det står i mailen. = It says so in the email.

Because Danish often uses på when information appears on a surface, document, list, screen, page, or similar thing.

So står på banereservationen means the information is shown on the reservation.

For an English speaker, this may feel slightly different from English usage in some situations, but in Danish på is very natural with written or displayed information.

You could sometimes say that, but står på is more natural when you mean that something is written or explicitly stated.

Compare:

• Spilletiden er på banereservationen = the playing time is on the reservation
• Spilletiden står på banereservationen = the playing time is written/listed on the reservation

So står på gives a clearer sense of written information.

It depends on context, but here it most likely means the scheduled time for playing or the booked playing slot.

In different contexts, spilletid can also mean:

• playing time in a match
• screen time or airtime
• the amount of time spent playing

But in a booking context with banereservation, it most naturally refers to the time connected with the court booking.

Because the subject is singular: spilletiden.

The infinitive is at stå. In the present tense, Danish uses:

• jeg står
• du står
• han/hun/den/det står
• vi står

So står is simply the present tense form, meaning stands or, in this case, is written / appears.

The word order is very straightforward:

• Spilletiden = subject
• står = verb
• på banereservationen = prepositional phrase

So the structure is:

Subject + verb + other information

This is the normal Danish main-clause pattern. Danish is a verb-second language, so in a main clause the finite verb usually comes in the second position.

For example:

• Spilletiden står på banereservationen.
• På banereservationen står spilletiden.

Both are possible, but the second version puts extra emphasis on på banereservationen.

Because both are common gender nouns in Danish.

Danish has two grammatical genders:

• common gender
• neuter

For common gender nouns, the definite ending is usually -en. For neuter nouns, it is usually -et.

So:

• en spilletid → spilletiden
• en banereservation → banereservationen

The last part of a compound noun usually determines its gender. Since tid and reservation are common gender nouns, the full compounds are too.

Not naturally in this sentence.

Without the definite endings, the sentence sounds too general or incomplete. Here you are talking about a specific playing time and a specific reservation, so Danish uses the definite forms:

• spilletiden
• banereservationen

If you remove the endings, it no longer sounds like normal idiomatic Danish in this context.

Because Danish does not capitalize all nouns.

In modern Danish, only:

• the first word of a sentence
• proper names
• certain special cases

get capital letters.

So:

• Spilletiden is capitalized because it begins the sentence.
• banereservationen stays lowercase because it is just a normal noun.

That is the normal rule in Danish.