Becoming very unhappy and just fed up

"Rarely can I understand the filipino voices I'm trying to pay my bill with. "

Then don't use a Filipino voice when paying the bill. 

"I seem to have problems with equipment leaking when it storms"

Is water coming out of the equipment?  What equipment is that? Modem? Satellite dish? 

" a tech shows up and fixed some connection at the dish and Hughes billed me $125 for fixing THEIR equipment."

Yeah, they charge for servicing the equipment. It's in the contract. You can get them to come out early if you subscribe to express repair, for a fee. 

"Finally so exasperated that I paid half of THEIR bill."

It's your bill.  

"Three months left on my contract and they'll think I've been drinking Redbull"

Or something.

"Plus, their gear is no faster than anyone else."

Did you expect it to be?  Satellite internet is usually slower than cable.   Looks like you may have forgotten to do some research before buying.