Ons deursoek die park ten spyte van verkeerde wenke.

Deursoek means search through, search thoroughly, or search a place carefully.

It is different from soek:

• soek = look for
• deursoek = search through

So:

• Ons soek die sleutels. = We are looking for the keys.
• Ons deursoek die park. = We are searching the park thoroughly.

In your sentence, the idea is not just that we are trying to find something. It is that we are carefully searching the park itself.

Because die park is the direct object of deursoek.

With deursoek, the place being searched usually comes directly after the verb:

• Ons deursoek die huis.
• Hulle deursoek die motor.
• Ek deursoek my sak.

If you say in die park, that changes the meaning. Then the park becomes the location where something happens, not the thing being searched.

Compare:

• Ons deursoek die park. = We search the park.
• Ons soek in die park. = We look in the park.

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

Ten spyte van means despite or in spite of.

It introduces something that did not stop the action:

• ten spyte van die reën = despite the rain
• ten spyte van probleme = despite problems
• ten spyte van verkeerde wenke = despite wrong clues/hints

So the sentence means that we search the park even though the clues or hints are wrong.

Yes, ten spyte van is best learned as a fixed expression.

For most learners, the simplest approach is:

• learn ten spyte van as a whole
• use it to mean despite / in spite of

You do not usually need to analyze ten by itself in everyday learning. In this phrase, it is part of an older fixed form, not something you will freely use the same way everywhere.

So it is most natural to remember:

• ten spyte van + noun phrase

For example:

• ten spyte van die wind
• ten spyte van haar hulp
• ten spyte van verkeerde wenke

Because verkeerde is an adjective placed before the noun, and in Afrikaans that adjective usually takes an -e ending.

So:

• verkeerde wenke = wrong hints/clues
• goeie raad = good advice
• groot huise = big houses

A useful comparison is:

• Die wenke is verkeerd. = The hints are wrong.
  Here the adjective comes after the verb, so it is verkeerd.
• verkeerde wenke = wrong hints
  Here the adjective comes before the noun, so it is verkeerde.

That contrast is very common in Afrikaans.

Wenke is the plural of wenk.

Depending on context, wenk can mean:

• hint
• tip
• clue

In this sentence, because someone is searching a park, clues or hints is probably the most natural meaning.

So verkeerde wenke could be understood as:

• wrong clues
• misleading hints
• bad tips

Because Afrikaans usually has no article with an indefinite plural noun.

That is similar to English:

• wrong clues
• bad ideas
• old books

So:

• verkeerde wenke = wrong clues/hints

If you wanted to make it definite, you could say:

• die verkeerde wenke = the wrong clues

But the original sentence just means wrong clues in a general or indefinite sense, so no article is needed.

Yes. Ons deursoek is in the present tense, and in Afrikaans the simple present often covers both:

• we search
• we are searching

So depending on context, Ons deursoek die park can mean:

• We search the park.
• We are searching the park.

Afrikaans often relies on context where English might prefer a progressive form such as are searching.

Then Afrikaans uses normal verb-second word order:

• Ten spyte van verkeerde wenke deursoek ons die park.

That literally corresponds to:

• Despite wrong clues, we search the park.

So when you move Ten spyte van verkeerde wenke to the front, the finite verb deursoek comes before ons.

This is a very common Afrikaans pattern:

• Vandag lees ek.
• In die park speel hulle.
• Ten spyte van verkeerde wenke deursoek ons die park.

Yes. Ondanks can also mean despite.

So you could say:

• Ons deursoek die park ondanks verkeerde wenke.

That is also natural Afrikaans.

A simple difference is:

• ten spyte van = a multi-word expression, very common
• ondanks = a single word, often a little more compact or formal in feel

Both are correct, and both would be understood easily.