Palm Identification, Problems & Rose by Any Other Spot

My husband and I recently rented a house in the Pacific Northwest with a fabulous back yard. Unfortunately, several of the plants in the yard are sickly, and being somewhat new to outdoor gardening, I find myself at a loss. Google searches have done nothing to solve the issues, and I was hoping y'all might offer some suggestions and help to a newbie.

First, there is a palm tree/bush I'm having a heck of a time identifying. A photo of it is in the attached photo montage. What is this tree/bush?
Second, whatever this tree/bush is, it has some major black spots all over the lower leaves (you can see them in the photo). Actually, these used to be worse. I've trimmed off quite a few of the really bad ones. Any advice on how to combat these spots?

Roses - there are several rose bushes that have spidery brown... blobs, I guess, all over the leaves, and a lot of the new buds wither and turn brown before they even bloom. I thought it might be black spot, but the spots don't look right. Is it black spot? Something else? How to combat this?

Finally - this sad little tree in the yard. Again, refer to the photo in the montage I've attached. It's covered in lichen, which I understand is harmless and only preys on trees that are already weakened. Only the top half of the tree has leaves, and the trunk is warped. Is there any way to save this tree?

Thanks for any ideas or suggestions you guys can offer!

Posting your pictures separately would really help because each one would be larger. The first plant looks more like a Yucca than a palm. The rose bush looks like it could have spray damage. Have you applied anything to the foliage? And I'm not sure about the last picture because I can barely see it.

I agree on the first plant looking like a yucca not a palm. The picture is too small to really show the spots clearly though so I can't help you with what's wrong with it.

Just knowing the plant is a Yucca helps me a lot, and you are right, it is a Yucca. From some quick research, it looks like the spots are a fungus, which I suspected, anyway. Thank you!

For the Roses, I haven't sprayed anything, but I was told a landscaping company came in before I took possession of the house and did some spraying and/or fertilizing. Could that be the cause? Will leaf burn negatively affect the plant (other than the obvious burns on the leaves)? Is there anything I can do other than trim the burned leaves and take care of the rest of the plant?

As for the tree, I've attached the largest picture I have, which still isn't that great. There really isn't much to see, though. It just looks dead - no leaves except on the very top of the tree, and the bottom of the trunk is bent, as if it grew from the ground crooked. The branches are still pliable and other than the fact that they're covered in lichen, look healthy to the untrained eye. The leaves on the very top of the tree don't look as if they matured, but they're green and crisp.

One thing to note - we think there is some sort of burrowing animal in the yard. We are finding holes and tidy piles of dirt where no holes or dirt should be. We have no idea what it is, yet, as we haven't seen anything. My first thought is gopher, but I would think they'd be easy to see. At any rate, would a borrowing animal kill a tree in this fashion?

Thanks so much for the help!

The holes & dirt piles does sound like gophers. I have problems with them all the time in my garden and only once in 4 yrs have I actually seen one of them so it's not surprising that you haven't seen one. Your tree is big enough that I think there's a good chance something else besides the gopher killed it. It's not impossible that gophers did it, but larger plants with bigger root systems can usually survive a little bit of chewing/tunneling through their roots--it's the things with smaller root systems that I'll lose to them.

If you could post a closeup of the leaves that are left on the tree someone might be able to ID it, but from this picture it's going to be really challenging. Also if you could post a closer shot of the base of the tree that might give some clues to what may have happened to it (show the area where it's curved, as well as the very bottom where it goes into the ground)

I have nothing to add about gophers or the sad looking tree. The roses will probably be fine (spray damage or no). Roses can be pretty resilient and the damage looks like it's probably just to the foliage.