Shija, no Veeam Monitor does not start nor require any additional processes started on ESX(i) host - except some processes running by default (the one which allows you to connect to the host with VMware Infrastructure Client).
What error message do you get when right-clicking unresponding host and selecting "Get error message"?
Do you add individual ESXi hosts to Veeam Monitor, or vCenter server instead?
shija03 wrote:When I go into each ESXi via ILO or DRAC card I see that the console indicates that no more processes can be forked.
I am not even sure what it all means