The question you need to resolve is "Are the DirecTV programmes you want to watch in a beam that covers Costa Rica?"
The programs from 119 deg east come from several satellites and there are many different beams pointed at CONUS and various smaller parts of the US. See https://www.lyngsat.com/119west.html
I think all of these beams are intended only for reception in parts of the US and the signal level contours will drop off rapidly outside the intended coverage. It may be possible to receive programs in northern Mexico, but further south it will become progressively more difficult.
The dish pointing information you refer to is to enable you to aim your dish at the satellites at 119 deg east. There is unlikely to be any detectable signal pointed down towards Costa Rica however.
Enthusiasts are welcome to try and if you have a very big dish perhaps 100 or 400 times the area of the nominal dish used in the intended coverage area then you may have chance. With a sensitive 10m diameter Ku band dish it is suprising what you can detect, but even then it is uncertain.
I suggest you investigate other satellites, looking at both Ku and C band and see if you can find any programmes that are Free-to-Air that you may wish to watch and with beams over central America. You will need a general purpose FTA type receiver and almost certainly a larger dish than that now usual for high power direct broadcast satellite services as in the US. https://www.sadoun.com/
are suggested suppliers of both equipment and information about FTA satellite TV.
Contacting satellite TV shops in Costa Rica is also likely to lead to good information about what is possible there.
Best regards, Eric.