Is it okay that my parents expect me to ask my friends if their parents could get them jobs?

My family is not originally from the U.S. My father worked as a custodian at a company for 8 years and got laid off last year. He has been looking for a new job ever since, but things are not looking good. Lately he is convinced that anyone that gets a job gets one through connections and he wants me to ask all my friends if their parents could get him a job. It makes me feel so uncomfortable doing that because I don't know their parents well. My dad had an interview at a school which is in town X recently, and he wanted me to ask my friend whose aunt is the mayor of town X to see if she could get him the job or back him or something!?, I refused, because first of all my friend and her aunt aren't very close, and secondly I have met the lady once in my life. Today he got really mad at me because he hasn't gotten a call with the results from the interview yet. LIKE IT'S ALL MY FAULT that he doesn't have a job because I didn't utilize my "connections". My mom is a nanny and getting kind of burned out by it, back in the home country she was a teacher but now she would like to work at our local library. She's making me ask my friends if their parents have any connections with the library that could get her the job (I asked, they don't). Am i being ridiculous or are they relying too much on me? Lastly, I am an undergraduate at a state school and I haven't had a "real" job yet, plus I'm shy so my "connections" are limited.