Where do you live? In the Eastern half of the country, most roses will get blackspot disease unless treated regularly with fungicide. It is not systemic in the plant but moves from leaf to leaf.

We live in West Texas.

In the wet humid climates, BS will cause the leaves to fall off and adversely affect the health of a rose bush. In a dry climate, in which you just get some spots, it may just be an unslightly nuisance. Some roses are vigorous enough to tolerate losing their leaves every summer--I have a Robusta next to a Silver Maple that does this almost every year.

Roses tend to have issues, and for the most part, that's just normal. I wouldn't toss them because they have yellowing and spots.

We live in Midland, Texas.

Bumping this so hopefully someone in your area can help you :)

I'm no where near you but it appears that they could use some mulch around them to help conserve moisture and feed the soil. It seems Texas has some good bag compost to put down under the mulch that would also feed your soil and plants. I know some parts of Texas are in drought conditions again and they may also need water.

Have you seen any bloom? It's the worst time to see rose foliage (spring is the best). But it looks like you have roses that will require spraying (1st and 3rd pics.) if you desire clean foliage. I have one that looks far worse than yours. I don't spray so cannot recommend a product. Coming up is winter pruning and some people strip off all foliage at the same time. New foliage can then be innoculated. I would take some foliage to a nursery and ask their rose expert what he/she recommends. Enjoy your new house!

Thanks for all the help so far, everyone! I went to a local recommended nursery and was told it just looks like the roses need nutrients. They are still blooming, so all is well so far. She said since we are about to hit winter, there's not much to do except to start winterizing. I'm hoping once it starts getting colder, I can prune them back and see some more blooms in the spring. They smell amazing when we walk into our back yard and definitely want to do whatever I can to keep them up! When do you usually prune them back?

I am in Arkansas, just above you, and we usually prune back in Feb or early March.