Please, help me to correct some phrases! )

After acrossing Nepalese border we head towards for Zhangmu to enter China's Tibet. –

you will visit traditional Tibetan villages where people lead live a very simple life - I think 'lead' is correct too

The buddhist monks from all over the world perform kora around Swayambhunath. You can follow their lifestyle and have a good spiritual experience.
After breakfast we take took a bus that brought us higher into the Tibetan Plateau. – I’d like to avoid 2 “take”/ What can you advise me? )))

This Stupa is the very heart of Kathmandu and the second most important buddhist shrine. There is something special about energy of this place. It radiates peace and wisdom. –
The altitude sickness can occur. – occur is this word appropriate in this context?

get to know the lifestyle and unique culture – or there is another way to say like learn/get closer to...? what do you think?

We wake up early and head for Gorepani – head for

I am not native , sorry :)

Please, help me to correct some frases phrases! )

After acrossing Nepalese border, we head towards Zhangmu to enter China's Tibet. – is it correct to use head towards? Yes it is.

You will visit traditional Tibetan villages where people lead live/experience a very simple life - lead does it make sense to use "lead" here? No, I don't think so. It's better to use "live" or "experience".

The buddhist monks from all over the world perform Kora around Swayambhunath. You can follow their lead and have a good spiritual experience. – "follow their lead" is it correct? Can't really understand your point, but I think it's correct.

After breakfast, we will take a bus that which will take us higher into the Tibetan Plateau. – I’d like to avoid 2 “take”/ What can you advise me? ))) or " After breakfast, we'll take a bus, which will proceed us higher into the Tibetan Plateaue." 

This Stupa is the very heart of Kathmandu and the second most important buddhist shrine. There is something special about the energy of this place. It radiates peace and wisdom. – is it ok to use radiates in this sence? Yes.
The altitude sickness can occur. – occur is this word appropriate in this context? It's appropriate.

get to know the lifestyle and unique culture – or there is another way to say like learn/get closer to...? what do you think? You can also say "To be familiar with the lifestyle and unique culture".

We wake up early and head for towards Gorepani – head for or head to? What is better to use? Towards.

Any help is important for me! Thanks! )

Please, help me to correct some phrases! )

After acrossing the Nepalese border we will head towards Zhangmu to enter China's Tibet.Yes, it is.

You will visit traditional Tibetan villages where people lead a very simple life. Yes, it does.

Buddhist monks from all over the world will perform Kora around Swayambhunath. You will be able to follow their lead and have a good spiritual experience. Yes, it is.

After breakfast we will take a bus that will bring us higher into the Tibetan Plateau. Suggestion.

This Stupa is the very heart of Kathmandu and the second most important buddhist shrine. There is something special about the energy of this place. It radiates peace and wisdom. Yes, it is.

Altitude sickness can occur.Yes, it is.

Get to know the local lifestyle and unique culture. All the choices would work, in my opinion.

We will wake up early and head for Gorepani.  

Any help is important for me! Thanks! ) Good luck! :D