Heh Heh!! yes you seem to have caught the "barkes" vs "brakes" thing
The screeching sound can be due one of three reasons:
1 - Brake dust
2 - Missing anti squeal shims
3 - Worn brake pads (in our cars that don't have a pad wear warning light)
Before I go into one of my long winded posts just remember, "menga roye aik bar, sasta roye bar bar".
All of these 1, 2, 3 will be addressed when you go for the brake bleed job at your local 3S shop. Ask them to do a brake service at the same time they do the bleed. It is one of the standard jobs the Honda people do at every 5000km service. All pads are taken out checked for thickness, cleaned, roughened up with emery to remove glaze, disc thickness checked. In your case, when the guy opens up the rear pads, if they are thin, you will be told, if the anti squeal shims are missing, you will be told and if the noise is due to brake dust, it will be removed as part of the normal service.
I am going to carry on from where @rustam54 left off, the question if you should go for original or duplicate (cheaper) pads. Are you sure OEM ones are 10k for the rear set? I think they are cheaper than 10k. I have owned 12 cars since 1986 (my first car) in the maintenance and care of all these I have always asked myself this question, "If I buy this low price duplicate part will I be saving in the long run?" ask yourself the same question. In fact since we are talking brake pads there is an additional question you need to ask yourself, "In an emergency if I crash, could it have been avoided if I had used OEM pads?" If you can satisfy yourself go for the cheaper pads.