You can check out this website, there are buses that leave the airport and drop you off at the hotel. SDTJ Passport (619) 428 0011 or (619) 253.8291 info@sdtjpassport.com http://www.sdtjpassport.com/#home
Yes, youll just need to get mexican insurance. And to make the border crossing back(mex-usa) hotel provides a “fast pass” with a cost of 30 dlls
Luckily this city is a boder town so you can pay in dollars with no problems.