yeah woodwork always gets scratched when installing carpet, theres really no way around that. the backing is stiff, there is no way around it. if theyre painted you might have to touch them up. if theyre finished some old english should do the trick. we would normally polish people's woodwork before leaving but if its painted then you might have to touch it up. some scratching of the wall isnt even unusual, its one of those unavoidable things. i learned the trade from my grandpa who did it for over 55 years and my dad who is in for over 30. sounds like you got a hack job, not that surprising nowadays when everyone is looking for a cheap deal instead of willing to pay for experience and superior service. shit even at our store there were a bunch of mexicans and i was amazed at some of the slop jobs they put in. if you have skill in flooring you do vinyl sheet goods or ceramic tiles, the pay is better, the hacks end up doing carpet exclusively because you can always stretch it a couple inches. give the carpet guys vinyl jobs and they will end up losing money when they screw it up. carpet is easy. the pay is good because the only real skills involved other than using a tape measure and some blades are working with large rolls and getting it in straight.
anyways, the installer is always going to try and blame the manufacturer because if they have to reinstall the floor it comes out of their paycheck. if its not something they can repair, and it doesnt sound like it is, then you are entitled to a new floor, period. doesnt matter if its manufacturers fault or the installers. or maybe you can get them to refund the cost of installation if you can live with it, let the guys who tossed it in lose their pay for that day of work.
my advice is be rational and friendly but persistent with whoever you deal with. dont be condescending and dont act like its the end of the world, people make mistakes there is no such thing as a carpet emergency. treat people with respect and they should be willing to make things right for you.