Allocation

Today, as every day, we get assigned equipment. With this equipment (equipment is always singular) we have to allocate (it) in our system and then send it (to the) customer. (When) equipment isn't available (to) our VIP customer, this kind of issue adds unnecessary work and delay. 

Now we must find out how to repair the equipment. (Not sure if intended meaning here - feel free to specify and I'll edit)

We have in port (approximately) three pieces of equipment pending (to date) because customers don't do documents. (This doesn't make sense but not sure if it works in the context of your industry jargon.)

Central depot inventory shows the engines (are broken), we have to coordinate (repair) techniques so we can get (them) to work.