Servisna knjižica je pored saobraćajne dozvole.

Because it is the subject of the sentence, so it is in the nominative singular.

The basic dictionary form is:

• servisna knjižica = service booklet / maintenance booklet

Both words are feminine singular nominative:

• servisna = feminine singular nominative adjective
• knjižica = feminine singular nominative noun

In this sentence, servisna knjižica is the thing being located.

Because the preposition pored requires the genitive case.

The base form is:

• saobraćajna dozvola = traffic permit / vehicle registration document

After pored, it changes to genitive singular:

• saobraćajna dozvola → saobraćajne dozvole

Both the adjective and the noun change:

• saobraćajna → saobraćajne
• dozvola → dozvole

So:

• pored saobraćajne dozvole = beside the traffic permit

Here pored means beside, next to, or by.

So:

• je pored saobraćajne dozvole = is next to the traffic permit

A useful thing to remember is that pored is commonly used with the genitive when it means physical position.

Je is the 3rd person singular present of biti = to be.

So:

• Servisna knjižica je... = The service booklet is...

It links the subject to the location phrase, just like is in English.

Because adjectives in Serbian must agree with the noun they describe in:

• gender
• number
• case

Both nouns here are feminine singular, but they are in different cases:

• servisna knjižica = nominative
• saobraćajne dozvole = genitive

So the adjective endings change accordingly:

• feminine singular nominative: -a
• feminine singular genitive: often -e

That is why you get:

• servisna knjižica
• saobraćajne dozvole

Yes. Knjižica is related to knjiga and literally has a diminutive feel, something like little book or booklet.

In everyday and administrative language, knjižica often means a small official booklet or document, for example:

• zdravstvena knjižica = health booklet / health insurance booklet
• radna knjižica = work booklet
• servisna knjižica = service booklet / maintenance record booklet

So here it does not sound childish; it is a normal document word.

Usually no.

• vozačka dozvola = driver's license
• saobraćajna dozvola = vehicle registration document / registration certificate

So even if English translations vary, saobraćajna dozvola is normally the car's document, not the driver's personal license.

Because Serbian does not have articles like English a and the.

Whether something is definite or indefinite is usually understood from:

• context
• word order
• the situation
• sometimes extra words such as taj, ovaj, jedan, etc.

So Servisna knjižica je pored saobraćajne dozvole can naturally mean:

• The service booklet is beside the traffic permit
• or, depending on context, A service booklet is beside a traffic permit

In real use, context tells you which one is meant.

Yes. Serbian word order is fairly flexible.

The given sentence:

• Servisna knjižica je pored saobraćajne dozvole.

is a very natural neutral order.

But you could also say:

• Pored saobraćajne dozvole je servisna knjižica.

That version puts more focus on the location first, something like:

• Beside the traffic permit is the service booklet.

So the meaning stays basically the same, but the emphasis changes.

It is describing location.

• pored = beside / next to

So the sentence tells you where the service booklet is.

It does not mean that the service booklet belongs to the traffic permit or comes together with it grammatically; it simply says one thing is located next to the other.

Yes. Pored can also be used in other senses, such as besides or in addition to, depending on context.

For example:

• Pored toga... = Besides that... / In addition to that...

But in your sentence, the meaning is clearly physical location:

• next to
• beside

So here you should understand it spatially, not abstractly.