Újrakezdjük a kézműves munkát.

Because it is made up of:

• újra = again
• kezd = start / begin
• -jük = we ... it (a verb ending)

In Hungarian, when a verbal prefix like újra- stands directly in front of the verb, it is usually written together with it:

• újrakezdjük = we start it again / we restart it

So this is not unusual spelling; it is a normal Hungarian pattern.

The ending -jük shows both:

• the subject is we
• the verb is using the definite conjugation

Hungarian verbs have two main conjugation patterns:

• indefinite: used when there is no definite direct object
• definite: used when the direct object is definite

Here the object is a kézműves munkát = the craft work, which is definite because of a = the.
So Hungarian uses the definite form:

• újrakezdjük = we restart it / we restart the ...

A learner may compare:

• Kezdünk. = We are starting.
• Kezdjük a munkát. = We are starting the work.

Because Hungarian usually includes the subject inside the verb ending.

So újrakezdjük already means we restart it.
You do not need to say mi (we) unless you want extra emphasis or contrast.

For example:

• Újrakezdjük a kézműves munkát. = normal, natural
• Mi újrakezdjük a kézműves munkát. = We are restarting the craft work (perhaps contrasting with someone else)

Because munkát is in the accusative case, which marks the direct object.

• munka = work
• munkát = work as the thing being acted on

In this sentence, the work is what is being restarted, so Hungarian marks it with -t.

Also notice this common spelling change:

• final a often becomes á before certain suffixes

So:

• munka + -t → munkát

This is very common in Hungarian:

• szoba → szobát
• alma → almát
• munka → munkát

Hungarian has two forms of the:

• a
• az

Which one you use depends on the sound that follows:

• a before a consonant sound
• az before a vowel sound

Here the next word is kézműves, which begins with k, a consonant, so you use:

• a kézműves munkát

Compare:

• a munka = the work
• az asztal = the table

No. In Hungarian, when an adjective comes before a noun, the case ending usually goes only on the noun, not on the adjective.

So:

• kézműves munka = craft work
• kézműves munkát = craft work as the object

Only munka gets the accusative ending:

• munkát

The adjective kézműves stays unchanged.

This is different from some languages where adjectives agree more fully with the noun.

Here it functions as an adjective modifying munka.

• kézműves can relate to handicraft / artisan / craft
• kézműves munka means craft work, handicraft work, or artisan work, depending on context

So in this sentence:

• kézműves describes what kind of work it is
• munka is the main noun

Yes, you could. Hungarian word order is flexible, but different orders can sound slightly different in emphasis or information structure.

Your original sentence:

• Újrakezdjük a kézműves munkát.

This is a natural sentence meaning roughly We’re restarting the craft work.

You can also say:

• A kézműves munkát újrakezdjük.

That puts more attention on the craft work as the topic or known thing being discussed.

So both are possible, but the nuance can shift depending on context.

This is a very useful thing to notice. In Hungarian, verbal prefixes often move away from the verb in certain sentence types, especially with negation, focus, or some questions.

Neutral statement:

• Újrakezdjük a kézműves munkát.

Negative:

• Nem kezdjük újra a kézműves munkát.
• We are not restarting the craft work.

Question:

• Újrakezdjük a kézműves munkát?
• or in some focused structures, the prefix may also appear after the verb depending on the sentence pattern

So a learner should remember:

• in a simple neutral statement: prefix + verb often stay together
• in negation and some other structures: the prefix can separate

In Hungarian, the main stress is normally on the first syllable of each word.

So roughly:

• ÚJ-ra-kezd-jük
• a
• KÉZ-mű-ves
• MUN-kát

A very rough English-friendly approximation would be:

• OOY-raw-kezd-yook ah KAYZ-moo-vesh MOON-kaat

A few important points:

• ú is a long vowel
• ű in mű is also long and rounded
• gy in other words is special, but here you have -jük, where j sounds like English y
• sz in Hungarian sounds like English s
• s alone in Hungarian sounds like English sh

Often, yes, depending on context.

Literally, újrakezdjük is something like we start it again or we restart it. In natural English, that may sometimes be better translated as:

• we restart
• we start again
• we resume

The best English choice depends on whether the activity was fully stopped and is now being begun again, or simply continued after a break.

So grammatically the Hungarian means start again, but in real translation resume may be perfectly natural.