Here you go, a working example. Note the Footer and header, its a little rough.
But its using Owl2 Carousel and it is responsive.
You will just need to tidy up everything to suit you. (You can create another row if you like, but it will be rather long on small devices.)
Carousel-Multi-Row-Modal-Responsive.bloc (1.4 MB)
It should give you everything you need to build your project. Let me know if you have any questions.
You will probably need to also modify the carousel options script too, its in the footer. The Owl2 docs are helpful if you have never used Owl2 before.
If you want a completed tidy and styled solution, you might have to compensate me 
But I am more than sure you’re capable of figuring it out from here.