I might start with water, organic rose fertilizer and mulch and give it a couple of months or till next Spring to show you what it can do. Several months of good care could make a drastic improvement.

I would only use Neem oil to treat a specific problem. It's possible the rose is new, or didn't get enough water, etc., before you moved in, and obviously Neem would be of no use to treat those problems.
Observe the sunlight to see if it gets enough sun, feed it, and hopefully that's all it will need

Carla in Sac

Where are you.... how hot is it there... does this rose get full sun.... Do you know if it has been fertilized lately.... if it hasn't been fertilized lately... I would get some alfafa meal and some cotton meat.... Gently pull back the mulch and GENTLY scratch it into the soil.... Cover it back with mulch. Then I would trim back the bush. I would take off the twiggy growth, that has no leaves. and slightly cut the tops. I use Elmers White Glue to seal out cane bores (big problems where I live). Then I water using a kelp and fish fertilizer.... probably 1/2 strength.... Next day I would use Superthive and water.... Then WAIT till the plant needs to be watered again. When it is dry enough to water it, use the kelp fish fertilizer half strength again ( I think there is a saying WEAKLY WEEKLY) I don't know too much about neem oil because BEFORE this forum I KILLED several bushes using the oil.... since I have learned NOT to spray in the heat of the day with ANY oil base. However, I now use Organcide (which is also an oil base) but it is for insects as WELL as fungus....

Do not put Neem oil on it if your temps are over 70 degrees. It will burn the rose. And Neem oil is only needed to prevent fungal diseases. So it would not really benefit the rose. Some good rose fertilizer and regular watering is what it needs now. Without knowing more about your location and weather conditions we can't really advise you more.