In reference to Internationals:
If the 110/119 dish you have is a Dish 500, then NO, that will not suffice for internationals. Internationals are at the 118.7 location which is a FSS Ku band satellite. FSS is operated at lower power than DBS, so a larger dish is needed to receive sufficient signal strength for reliability. If you want Internationals, you will need the larger dish that is marked Dish 500 Plus or Dish 1000 or Dish 1000 Plus or Dish 1000.2 or Dish 1000.4 or (I hope I was correct on all the markings Dish has on all the equipment) essentially, any dish that is described as capable of receiving Dish services at 118.
Since 118.7 is an FSS Ku band satellite, you will not be able to receive channels from that location using a DBS LNBF. Dish's solution is their dual-band LNBF that receives both 119 and 118.7 simultaneously using ONE LNBF for both 119 and 118. You would only need to connect the port from 118, and leave the 119 port unconnected for an EA system. I believe you can purchase an LNBF from a third party that can also do the job of just looking at 118.7, but you must be careful as many of these are legacy and will not work with DishPro equipment. So, unless you are really an expert at this, you safest bet is to get Dish's dual-band LNBF that you know will work properly with the system.
Since you are on the EA, you will need a separate Dish to look at 118.7. However, if one of your LNBF's at the EA has an input port for an additional LNBF at a second dish, that may be a solution, depending upon how many STB's and if any external switches are part of your system. You could still just run the additional cable form the 118 to, based upon your install, to an external switch that you may need.
The time to add Internationals was when you had this current install/upgrade. It probably would not have cost that much extra. If you try to add Eurochannel now, through Dish, you will pay a pretty good amount of money for it. After a year, you could try to add Eurochannel as an upgrade, and the price may be greatly discounted, but it will require a commitment. If you want to DIY it, you can do that, but an external DPP44 alone at full retail is just about as much as you would pay--or even more-- today to just have Dish come back out and do everything to get you Eurochannel. And we haven't even factored in the cost of the FSS Ku LNBF, yet. So, you may have to shop around at Ebay for this make economic sense, at this point. Try going on line to the Dish Store or other on-line Dish retailer and look around and you will see the equipment necessary there.
