Do they use icons in the Roman Catholic Church like they do in the East Orthodox Church? In my limited experience, I've only seen statues in the Roman Catholic Church, but not icons. I don't just mean having some images in the temple, but also praying while looking at them and kissing them from time to time - just like it is done in the East Orthodox.
Sure, they do!!! See this famous icon -
I don't know if it's common practice among all Catholics, but I kiss the image of Jesus on my scapular every chance I get. It's pretty much an icon except it's done on cloth.
I kiss the cross when making the sign of the cross while praying the rosary and on Good Friday we venerate the cross of Jesus by kissing the crucifix. Latin American Catholics are also known to make a tiny cross with their fingers after making the sign of the cross and kissing that (their hand).
There is one company that I know of in the united states that makes Catholic Icons (as well as Orthodox Icons); that's monastery icons. I don't believe a Catholic would be prohibited from venerating any sort of holy icon in an appropriate manner. Blessed icons would be considered sacramentals.
Yes, we do use icons from what I am aware of. My grandmother is Catholic and she bought an icon of St. Gregory at her Catholic church. It is up in her guest room. It is not exactly used a lot however, it is mostly used as being in Greek Orthodox or Eastern Catholic, however it can be used in Roman Church aswell.