As soon as you sign his tablet, you did indeed close the work order and he conned you into doing that so he could get paid. The thing is that if he is a sub contractor, Also known as an RSP,or a dish internal and another tech has to come back they consider that a 12 day trouble call or what we call an R12. No technician that gives a damn about his job once one of these because they affect pay and promotion. It sounds like this guy may come from a local retailer who are not always bound by dish standards and it also sounds like he's just lazy.
I don't want to pat myself on the back but I promise you that if it was me knocking on your door the first time, the problem would've been fixed and there are a whole lot of techs that would agree with me. It's these shoddy companies and shoddy technicians that gives the rest of us a bad name.
I truly apologize for what you've been going through and I hope that it gets worked out quickly. Some of us take Best in class seriously