Hey there Del Piero
; I'll try to answer you shortly...
1- what informations do you have about hotel school and the students that graduate from it ( i mean do they have good jops or not )
I have no information about this school... do you mean this one? ->http://www.hotelschool.lv/
If so... I suppose, it's not about high education. It's just a private college.
Honestly speaking, I doubt you could find a good job if you "graduate" it. It's mostly about getting money from you. The "document of degree" you may have afterall, could work only within this school. Probably, you could get some job regarding references from this school as itself. But I doubt it would be well-paid and desired one.
It's just my opinion; I have no ideas what this school is generally about.
2- is the transportation easy between all cities ( as i will travel here and there alot )
Yes, it is. You could reach almost any city in Latvia by bus or train. The transportation fees, regarding EU fees, are not that high at all.
3- if i marry from latvian girl ... will i get permenant residence
The "permanent residence" question in Latvia is a difficult one, and you wouldn't get it just getting married a Latvian citizen. Laws are changing fast and I couldn't answer precisely right now, but you could probably get a temporary 5-years EU residence, if investing in properties (250,000 EUR worth or more) or somewhere else. Permanent residence is about knowing Latvian language, history, passing exams and living here for multiple years. At least it was so couple of years ago...
4- what is the best way to learn latvian language as my studies will be in english
Like learning any other language, you should be in the Latvian atmosphere to study it
get vocabularies, watch TV, read newspapers and books in Latvian, speak to other people. That's the best way to learn. You could also visit some free courses of Latvian, some are available in Riga; but they are always fulfilled with locals.