Can I host this site on my server?

This is my first post in this forum … Hello everyone!

I have dedicated the cpanel server with the following specifications:

Intel Xeon E5-1650V2

128 GB of RAM.

CloudLinux is also installed with lsapi as the driver.

They asked me to host a WordPress blog on the server.

It has around 60,000 unique visitors a day. Currently it is hosted on a nginX server with the same processor and RAM.

The host tells you not to use a caching plugin because it is cached at the server level. In addition, you are instructed not to use ajax because the server blocks all ajax calls!

There are no other accounts on that server.

On the other hand, I have 75 sites on my server. One of them (wordpress) receives around 7000 visitors a day, 10 of them around 1000 and the rest are low traffic sites.

I have tried to optimize the apache as best as I can. The load of the server in a working day is around 4 (12 is the maximum). Sometimes during the day, it goes up to 7 or 8 for a few minutes.

The memory is around 15%.

What scares me is that this site receives a lot of Facebook traffic. The owner has a page with 400,000 "likes".

Google traffic is distributed evenly throughout the day, but not from Facebook. When we post one of the WordPress articles on Facebook, there is a large volume of traffic directed to the site, in a matter of minutes.

I have tried to install nginx as a reverse proxy twice in the past, but I could not make it work.

The question is, can my server host this website without any problem? I do not want to lose this client and I do not want to lease a second server.

I'm also considering litespeed if I get this client.

Thank you